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Finding the Fourth Proportional to 237.67, 356.50 and 133.56

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Solution

The fourth proportional to 237.67, 356.50 and 133.56 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.67 : 356.50 = 133.56 : x
  2. Step 2: Convert to fraction form
    237.67/356.50 = 133.56/x
  3. Step 3: Cross multiply
    237.67x = 356.50 × 133.56
  4. Step 4: Simplify right side
    237.67x = 47,613.30
  5. Step 5: Solve for x
    x = 47,613.30/237.67
  6. Step 6: Final answer
    x = 200.34

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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.