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Finding the Fourth Proportional to 654.37, 981.61 and 167.42

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Solution

The fourth proportional to 654.37, 981.61 and 167.42 is: 251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.37 : 981.61 = 167.42 : x
  2. Step 2: Convert to fraction form
    654.37/981.61 = 167.42/x
  3. Step 3: Cross multiply
    654.37x = 981.61 × 167.42
  4. Step 4: Simplify right side
    654.37x = 164,343.18
  5. Step 5: Solve for x
    x = 164,343.18/654.37
  6. Step 6: Final answer
    x = 251.15

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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.