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Finding the Fourth Proportional to 232.59, 348.64 and 109.09

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Solution

The fourth proportional to 232.59, 348.64 and 109.09 is: 163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 348.64 = 109.09 : x
  2. Step 2: Convert to fraction form
    232.59/348.64 = 109.09/x
  3. Step 3: Cross multiply
    232.59x = 348.64 × 109.09
  4. Step 4: Simplify right side
    232.59x = 38,032.10
  5. Step 5: Solve for x
    x = 38,032.10/232.59
  6. Step 6: Final answer
    x = 163.52

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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.