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Finding the Fourth Proportional to 348.73, 523.10 and 165.87

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Solution

The fourth proportional to 348.73, 523.10 and 165.87 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 523.10 = 165.87 : x
  2. Step 2: Convert to fraction form
    348.73/523.10 = 165.87/x
  3. Step 3: Cross multiply
    348.73x = 523.10 × 165.87
  4. Step 4: Simplify right side
    348.73x = 86,767.01
  5. Step 5: Solve for x
    x = 86,767.01/348.73
  6. Step 6: Final answer
    x = 248.81

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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.