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Finding the Fourth Proportional to 297.18, 445.70 and 80.78

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Solution

The fourth proportional to 297.18, 445.70 and 80.78 is: 121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 445.70 = 80.78 : x
  2. Step 2: Convert to fraction form
    297.18/445.70 = 80.78/x
  3. Step 3: Cross multiply
    297.18x = 445.70 × 80.78
  4. Step 4: Simplify right side
    297.18x = 36,001.62
  5. Step 5: Solve for x
    x = 36,001.62/297.18
  6. Step 6: Final answer
    x = 121.14

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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.