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Finding the Fourth Proportional to 237.90, 356.38 and 135.04

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Solution

The fourth proportional to 237.90, 356.38 and 135.04 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.90 : 356.38 = 135.04 : x
  2. Step 2: Convert to fraction form
    237.90/356.38 = 135.04/x
  3. Step 3: Cross multiply
    237.90x = 356.38 × 135.04
  4. Step 4: Simplify right side
    237.90x = 48,125.56
  5. Step 5: Solve for x
    x = 48,125.56/237.90
  6. Step 6: Final answer
    x = 202.29

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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.