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Finding the Fourth Proportional to 343.24, 514.38 and 126.70

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Solution

The fourth proportional to 343.24, 514.38 and 126.70 is: 189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 514.38 = 126.70 : x
  2. Step 2: Convert to fraction form
    343.24/514.38 = 126.70/x
  3. Step 3: Cross multiply
    343.24x = 514.38 × 126.70
  4. Step 4: Simplify right side
    343.24x = 65,171.95
  5. Step 5: Solve for x
    x = 65,171.95/343.24
  6. Step 6: Final answer
    x = 189.87

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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.