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Finding the Fourth Proportional to 343.59, 515.14 and 167.79

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Solution

The fourth proportional to 343.59, 515.14 and 167.79 is: 251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 515.14 = 167.79 : x
  2. Step 2: Convert to fraction form
    343.59/515.14 = 167.79/x
  3. Step 3: Cross multiply
    343.59x = 515.14 × 167.79
  4. Step 4: Simplify right side
    343.59x = 86,436.85
  5. Step 5: Solve for x
    x = 86,436.85/343.59
  6. Step 6: Final answer
    x = 251.57

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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.