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Finding the Fourth Proportional to 387.74, 581.16 and 144.02

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Solution

The fourth proportional to 387.74, 581.16 and 144.02 is: 215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.74 : 581.16 = 144.02 : x
  2. Step 2: Convert to fraction form
    387.74/581.16 = 144.02/x
  3. Step 3: Cross multiply
    387.74x = 581.16 × 144.02
  4. Step 4: Simplify right side
    387.74x = 83,698.66
  5. Step 5: Solve for x
    x = 83,698.66/387.74
  6. Step 6: Final answer
    x = 215.86

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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.