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Finding the Fourth Proportional to 232.30, 348.61 and 95.35

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Solution

The fourth proportional to 232.30, 348.61 and 95.35 is: 143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 348.61 = 95.35 : x
  2. Step 2: Convert to fraction form
    232.30/348.61 = 95.35/x
  3. Step 3: Cross multiply
    232.30x = 348.61 × 95.35
  4. Step 4: Simplify right side
    232.30x = 33,239.96
  5. Step 5: Solve for x
    x = 33,239.96/232.30
  6. Step 6: Final answer
    x = 143.09

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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.