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Finding the Fourth Proportional to 387.30, 581.02 and 143.82

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Solution

The fourth proportional to 387.30, 581.02 and 143.82 is: 215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.30 : 581.02 = 143.82 : x
  2. Step 2: Convert to fraction form
    387.30/581.02 = 143.82/x
  3. Step 3: Cross multiply
    387.30x = 581.02 × 143.82
  4. Step 4: Simplify right side
    387.30x = 83,562.30
  5. Step 5: Solve for x
    x = 83,562.30/387.30
  6. Step 6: Final answer
    x = 215.76

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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.