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Finding the Fourth Proportional to 654.60, 981.90 and 167.65

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Solution

The fourth proportional to 654.60, 981.90 and 167.65 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 981.90 = 167.65 : x
  2. Step 2: Convert to fraction form
    654.60/981.90 = 167.65/x
  3. Step 3: Cross multiply
    654.60x = 981.90 × 167.65
  4. Step 4: Simplify right side
    654.60x = 164,613.08
  5. Step 5: Solve for x
    x = 164,613.08/654.60
  6. Step 6: Final answer
    x = 251.47

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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.