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Finding the Fourth Proportional to 343.95, 516.30 and 138.66

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Solution

The fourth proportional to 343.95, 516.30 and 138.66 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 516.30 = 138.66 : x
  2. Step 2: Convert to fraction form
    343.95/516.30 = 138.66/x
  3. Step 3: Cross multiply
    343.95x = 516.30 × 138.66
  4. Step 4: Simplify right side
    343.95x = 71,590.16
  5. Step 5: Solve for x
    x = 71,590.16/343.95
  6. Step 6: Final answer
    x = 208.14

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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.