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Finding the Fourth Proportional to 232.65, 349.20 and 110.99

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Solution

The fourth proportional to 232.65, 349.20 and 110.99 is: 166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.65 : 349.20 = 110.99 : x
  2. Step 2: Convert to fraction form
    232.65/349.20 = 110.99/x
  3. Step 3: Cross multiply
    232.65x = 349.20 × 110.99
  4. Step 4: Simplify right side
    232.65x = 38,758.58
  5. Step 5: Solve for x
    x = 38,758.58/232.65
  6. Step 6: Final answer
    x = 166.60

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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.