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Finding the Fourth Proportional to 232.56, 348.93 and 110.73

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Solution

The fourth proportional to 232.56, 348.93 and 110.73 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 348.93 = 110.73 : x
  2. Step 2: Convert to fraction form
    232.56/348.93 = 110.73/x
  3. Step 3: Cross multiply
    232.56x = 348.93 × 110.73
  4. Step 4: Simplify right side
    232.56x = 38,637.02
  5. Step 5: Solve for x
    x = 38,637.02/232.56
  6. Step 6: Final answer
    x = 166.14

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Why These Related Problems?

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