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Finding the Fourth Proportional to 343.31, 515.21 and 178.67

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Solution

The fourth proportional to 343.31, 515.21 and 178.67 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 515.21 = 178.67 : x
  2. Step 2: Convert to fraction form
    343.31/515.21 = 178.67/x
  3. Step 3: Cross multiply
    343.31x = 515.21 × 178.67
  4. Step 4: Simplify right side
    343.31x = 92,052.97
  5. Step 5: Solve for x
    x = 92,052.97/343.31
  6. Step 6: Final answer
    x = 268.14

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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.