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Finding the Fourth Proportional to 395.31, 592.78 and 135.24

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Solution

The fourth proportional to 395.31, 592.78 and 135.24 is: 202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 592.78 = 135.24 : x
  2. Step 2: Convert to fraction form
    395.31/592.78 = 135.24/x
  3. Step 3: Cross multiply
    395.31x = 592.78 × 135.24
  4. Step 4: Simplify right side
    395.31x = 80,167.57
  5. Step 5: Solve for x
    x = 80,167.57/395.31
  6. Step 6: Final answer
    x = 202.80

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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.