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Finding the Fourth Proportional to 387.60, 581.62 and 144.14

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Solution

The fourth proportional to 387.60, 581.62 and 144.14 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 581.62 = 144.14 : x
  2. Step 2: Convert to fraction form
    387.60/581.62 = 144.14/x
  3. Step 3: Cross multiply
    387.60x = 581.62 × 144.14
  4. Step 4: Simplify right side
    387.60x = 83,834.71
  5. Step 5: Solve for x
    x = 83,834.71/387.60
  6. Step 6: Final answer
    x = 216.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.