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Finding the Fourth Proportional to 387.16, 534.10 and 231.88

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Solution

The fourth proportional to 387.16, 534.10 and 231.88 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.16 : 534.10 = 231.88 : x
  2. Step 2: Convert to fraction form
    387.16/534.10 = 231.88/x
  3. Step 3: Cross multiply
    387.16x = 534.10 × 231.88
  4. Step 4: Simplify right side
    387.16x = 123,847.11
  5. Step 5: Solve for x
    x = 123,847.11/387.16
  6. Step 6: Final answer
    x = 319.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.