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Finding the Fourth Proportional to 232.70, 348.90 and 111.10

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Solution

The fourth proportional to 232.70, 348.90 and 111.10 is: 166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.70 : 348.90 = 111.10 : x
  2. Step 2: Convert to fraction form
    232.70/348.90 = 111.10/x
  3. Step 3: Cross multiply
    232.70x = 348.90 × 111.10
  4. Step 4: Simplify right side
    232.70x = 38,761.50
  5. Step 5: Solve for x
    x = 38,761.50/232.70
  6. Step 6: Final answer
    x = 166.57

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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.