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Finding the Fourth Proportional to 232.24, 347.82 and 177.70

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Solution

The fourth proportional to 232.24, 347.82 and 177.70 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 347.82 = 177.70 : x
  2. Step 2: Convert to fraction form
    232.24/347.82 = 177.70/x
  3. Step 3: Cross multiply
    232.24x = 347.82 × 177.70
  4. Step 4: Simplify right side
    232.24x = 61,807.61
  5. Step 5: Solve for x
    x = 61,807.61/232.24
  6. Step 6: Final answer
    x = 266.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.