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Finding the Fourth Proportional to 348.68, 523.01 and 132.09

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Solution

The fourth proportional to 348.68, 523.01 and 132.09 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 523.01 = 132.09 : x
  2. Step 2: Convert to fraction form
    348.68/523.01 = 132.09/x
  3. Step 3: Cross multiply
    348.68x = 523.01 × 132.09
  4. Step 4: Simplify right side
    348.68x = 69,083.73
  5. Step 5: Solve for x
    x = 69,083.73/348.68
  6. Step 6: Final answer
    x = 198.13

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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.