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Finding the Fourth Proportional to 343.26, 514.97 and 178.78

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Solution

The fourth proportional to 343.26, 514.97 and 178.78 is: 268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 514.97 = 178.78 : x
  2. Step 2: Convert to fraction form
    343.26/514.97 = 178.78/x
  3. Step 3: Cross multiply
    343.26x = 514.97 × 178.78
  4. Step 4: Simplify right side
    343.26x = 92,066.34
  5. Step 5: Solve for x
    x = 92,066.34/343.26
  6. Step 6: Final answer
    x = 268.21

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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.