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Finding the Fourth Proportional to 387.10, 580.88 and 167.68

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Solution

The fourth proportional to 387.10, 580.88 and 167.68 is: 251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 580.88 = 167.68 : x
  2. Step 2: Convert to fraction form
    387.10/580.88 = 167.68/x
  3. Step 3: Cross multiply
    387.10x = 580.88 × 167.68
  4. Step 4: Simplify right side
    387.10x = 97,403.10
  5. Step 5: Solve for x
    x = 97,403.10/387.10
  6. Step 6: Final answer
    x = 251.62

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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.