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Finding the Fourth Proportional to 343.69, 515.35 and 138.10

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Solution

The fourth proportional to 343.69, 515.35 and 138.10 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.69 : 515.35 = 138.10 : x
  2. Step 2: Convert to fraction form
    343.69/515.35 = 138.10/x
  3. Step 3: Cross multiply
    343.69x = 515.35 × 138.10
  4. Step 4: Simplify right side
    343.69x = 71,169.84
  5. Step 5: Solve for x
    x = 71,169.84/343.69
  6. Step 6: Final answer
    x = 207.08

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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.