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Finding the Fourth Proportional to 387.67, 581.38 and 144.13

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Solution

The fourth proportional to 387.67, 581.38 and 144.13 is: 216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.67 : 581.38 = 144.13 : x
  2. Step 2: Convert to fraction form
    387.67/581.38 = 144.13/x
  3. Step 3: Cross multiply
    387.67x = 581.38 × 144.13
  4. Step 4: Simplify right side
    387.67x = 83,792.49
  5. Step 5: Solve for x
    x = 83,792.49/387.67
  6. Step 6: Final answer
    x = 216.15

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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.