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Finding the Fourth Proportional to 237.44, 355.84 and 115.36

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Solution

The fourth proportional to 237.44, 355.84 and 115.36 is: 172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 355.84 = 115.36 : x
  2. Step 2: Convert to fraction form
    237.44/355.84 = 115.36/x
  3. Step 3: Cross multiply
    237.44x = 355.84 × 115.36
  4. Step 4: Simplify right side
    237.44x = 41,049.70
  5. Step 5: Solve for x
    x = 41,049.70/237.44
  6. Step 6: Final answer
    x = 172.88

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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.