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Finding the Fourth Proportional to 237.25, 353.61 and 232.69

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Solution

The fourth proportional to 237.25, 353.61 and 232.69 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.25 : 353.61 = 232.69 : x
  2. Step 2: Convert to fraction form
    237.25/353.61 = 232.69/x
  3. Step 3: Cross multiply
    237.25x = 353.61 × 232.69
  4. Step 4: Simplify right side
    237.25x = 82,281.95
  5. Step 5: Solve for x
    x = 82,281.95/237.25
  6. Step 6: Final answer
    x = 346.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.