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Finding the Fourth Proportional to 348.83, 523.20 and 165.95

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Solution

The fourth proportional to 348.83, 523.20 and 165.95 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.83 : 523.20 = 165.95 : x
  2. Step 2: Convert to fraction form
    348.83/523.20 = 165.95/x
  3. Step 3: Cross multiply
    348.83x = 523.20 × 165.95
  4. Step 4: Simplify right side
    348.83x = 86,825.04
  5. Step 5: Solve for x
    x = 86,825.04/348.83
  6. Step 6: Final answer
    x = 248.90

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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.