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Finding the Fourth Proportional to 237.66, 354.60 and 232.18

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Solution

The fourth proportional to 237.66, 354.60 and 232.18 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 354.60 = 232.18 : x
  2. Step 2: Convert to fraction form
    237.66/354.60 = 232.18/x
  3. Step 3: Cross multiply
    237.66x = 354.60 × 232.18
  4. Step 4: Simplify right side
    237.66x = 82,331.03
  5. Step 5: Solve for x
    x = 82,331.03/237.66
  6. Step 6: Final answer
    x = 346.42

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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.