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Finding the Fourth Proportional to 343.70, 515.71 and 138.42

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Solution

The fourth proportional to 343.70, 515.71 and 138.42 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.70 : 515.71 = 138.42 : x
  2. Step 2: Convert to fraction form
    343.70/515.71 = 138.42/x
  3. Step 3: Cross multiply
    343.70x = 515.71 × 138.42
  4. Step 4: Simplify right side
    343.70x = 71,384.75
  5. Step 5: Solve for x
    x = 71,384.75/343.70
  6. Step 6: Final answer
    x = 207.70

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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.