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Finding the Fourth Proportional to 232.44, 348.90 and 147

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Solution

The fourth proportional to 232.44, 348.90 and 147 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 348.90 = 147 : x
  2. Step 2: Convert to fraction form
    232.44/348.90 = 147/x
  3. Step 3: Cross multiply
    232.44x = 348.90 × 147
  4. Step 4: Simplify right side
    232.44x = 51,288.30
  5. Step 5: Solve for x
    x = 51,288.30/232.44
  6. Step 6: Final answer
    x = 220.65

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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.