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Finding the Fourth Proportional to 343.29, 514.71 and 126.75

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Solution

The fourth proportional to 343.29, 514.71 and 126.75 is: 190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.29 : 514.71 = 126.75 : x
  2. Step 2: Convert to fraction form
    343.29/514.71 = 126.75/x
  3. Step 3: Cross multiply
    343.29x = 514.71 × 126.75
  4. Step 4: Simplify right side
    343.29x = 65,239.49
  5. Step 5: Solve for x
    x = 65,239.49/343.29
  6. Step 6: Final answer
    x = 190.04

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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.