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Finding the Fourth Proportional to 387.08, 580.66 and 143.78

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Solution

The fourth proportional to 387.08, 580.66 and 143.78 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.08 : 580.66 = 143.78 : x
  2. Step 2: Convert to fraction form
    387.08/580.66 = 143.78/x
  3. Step 3: Cross multiply
    387.08x = 580.66 × 143.78
  4. Step 4: Simplify right side
    387.08x = 83,487.29
  5. Step 5: Solve for x
    x = 83,487.29/387.08
  6. Step 6: Final answer
    x = 215.68

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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.