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Finding the Fourth Proportional to 654.41, 981.54 and 167.46

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Solution

The fourth proportional to 654.41, 981.54 and 167.46 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 981.54 = 167.46 : x
  2. Step 2: Convert to fraction form
    654.41/981.54 = 167.46/x
  3. Step 3: Cross multiply
    654.41x = 981.54 × 167.46
  4. Step 4: Simplify right side
    654.41x = 164,367.85
  5. Step 5: Solve for x
    x = 164,367.85/654.41
  6. Step 6: Final answer
    x = 251.17

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.