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Finding the Fourth Proportional to 232.88, 349.41 and 109.52

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Solution

The fourth proportional to 232.88, 349.41 and 109.52 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 349.41 = 109.52 : x
  2. Step 2: Convert to fraction form
    232.88/349.41 = 109.52/x
  3. Step 3: Cross multiply
    232.88x = 349.41 × 109.52
  4. Step 4: Simplify right side
    232.88x = 38,267.40
  5. Step 5: Solve for x
    x = 38,267.40/232.88
  6. Step 6: Final answer
    x = 164.32

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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.