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Finding the Fourth Proportional to 343.30, 514.92 and 150.92

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Solution

The fourth proportional to 343.30, 514.92 and 150.92 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.30 : 514.92 = 150.92 : x
  2. Step 2: Convert to fraction form
    343.30/514.92 = 150.92/x
  3. Step 3: Cross multiply
    343.30x = 514.92 × 150.92
  4. Step 4: Simplify right side
    343.30x = 77,711.73
  5. Step 5: Solve for x
    x = 77,711.73/343.30
  6. Step 6: Final answer
    x = 226.37

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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.