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Finding the Fourth Proportional to 395.24, 592.80 and 135.20

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Solution

The fourth proportional to 395.24, 592.80 and 135.20 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 592.80 = 135.20 : x
  2. Step 2: Convert to fraction form
    395.24/592.80 = 135.20/x
  3. Step 3: Cross multiply
    395.24x = 592.80 × 135.20
  4. Step 4: Simplify right side
    395.24x = 80,146.56
  5. Step 5: Solve for x
    x = 80,146.56/395.24
  6. Step 6: Final answer
    x = 202.78

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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.