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Finding the Fourth Proportional to 387.81, 581.73 and 144.29

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Solution

The fourth proportional to 387.81, 581.73 and 144.29 is: 216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.81 : 581.73 = 144.29 : x
  2. Step 2: Convert to fraction form
    387.81/581.73 = 144.29/x
  3. Step 3: Cross multiply
    387.81x = 581.73 × 144.29
  4. Step 4: Simplify right side
    387.81x = 83,937.30
  5. Step 5: Solve for x
    x = 83,937.30/387.81
  6. Step 6: Final answer
    x = 216.44

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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.