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Finding the Fourth Proportional to 232.09, 348.33 and 95.10

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Solution

The fourth proportional to 232.09, 348.33 and 95.10 is: 142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.09 : 348.33 = 95.10 : x
  2. Step 2: Convert to fraction form
    232.09/348.33 = 95.10/x
  3. Step 3: Cross multiply
    232.09x = 348.33 × 95.10
  4. Step 4: Simplify right side
    232.09x = 33,125.23
  5. Step 5: Solve for x
    x = 33,125.23/232.09
  6. Step 6: Final answer
    x = 142.73

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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.