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Finding the Fourth Proportional to 395.50, 592.82 and 135.25

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Solution

The fourth proportional to 395.50, 592.82 and 135.25 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.50 : 592.82 = 135.25 : x
  2. Step 2: Convert to fraction form
    395.50/592.82 = 135.25/x
  3. Step 3: Cross multiply
    395.50x = 592.82 × 135.25
  4. Step 4: Simplify right side
    395.50x = 80,180.59
  5. Step 5: Solve for x
    x = 80,180.59/395.50
  6. Step 6: Final answer
    x = 202.73

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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.