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Finding the Fourth Proportional to 215.28, 297.18 and 149.76

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Solution

The fourth proportional to 215.28, 297.18 and 149.76 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.28 : 297.18 = 149.76 : x
  2. Step 2: Convert to fraction form
    215.28/297.18 = 149.76/x
  3. Step 3: Cross multiply
    215.28x = 297.18 × 149.76
  4. Step 4: Simplify right side
    215.28x = 44,505.68
  5. Step 5: Solve for x
    x = 44,505.68/215.28
  6. Step 6: Final answer
    x = 206.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.