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Finding the Fourth Proportional to 343.68, 515.07 and 138.14

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Solution

The fourth proportional to 343.68, 515.07 and 138.14 is: 207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.68 : 515.07 = 138.14 : x
  2. Step 2: Convert to fraction form
    343.68/515.07 = 138.14/x
  3. Step 3: Cross multiply
    343.68x = 515.07 × 138.14
  4. Step 4: Simplify right side
    343.68x = 71,151.77
  5. Step 5: Solve for x
    x = 71,151.77/343.68
  6. Step 6: Final answer
    x = 207.03

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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.