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Finding the Fourth Proportional to 232.02, 348.02 and 95.06

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Solution

The fourth proportional to 232.02, 348.02 and 95.06 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 348.02 = 95.06 : x
  2. Step 2: Convert to fraction form
    232.02/348.02 = 95.06/x
  3. Step 3: Cross multiply
    232.02x = 348.02 × 95.06
  4. Step 4: Simplify right side
    232.02x = 33,080.57
  5. Step 5: Solve for x
    x = 33,080.57/232.02
  6. Step 6: Final answer
    x = 142.58

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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.