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Finding the Fourth Proportional to 237.76, 354.08 and 232.12

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Solution

The fourth proportional to 237.76, 354.08 and 232.12 is: 345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 354.08 = 232.12 : x
  2. Step 2: Convert to fraction form
    237.76/354.08 = 232.12/x
  3. Step 3: Cross multiply
    237.76x = 354.08 × 232.12
  4. Step 4: Simplify right side
    237.76x = 82,189.05
  5. Step 5: Solve for x
    x = 82,189.05/237.76
  6. Step 6: Final answer
    x = 345.68

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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.