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Finding the Fourth Proportional to 232.98, 349.37 and 117.28

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Solution

The fourth proportional to 232.98, 349.37 and 117.28 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 349.37 = 117.28 : x
  2. Step 2: Convert to fraction form
    232.98/349.37 = 117.28/x
  3. Step 3: Cross multiply
    232.98x = 349.37 × 117.28
  4. Step 4: Simplify right side
    232.98x = 40,974.11
  5. Step 5: Solve for x
    x = 40,974.11/232.98
  6. Step 6: Final answer
    x = 175.87

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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.