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Finding the Fourth Proportional to 215.52, 297.34 and 163.05

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Solution

The fourth proportional to 215.52, 297.34 and 163.05 is: 224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 297.34 = 163.05 : x
  2. Step 2: Convert to fraction form
    215.52/297.34 = 163.05/x
  3. Step 3: Cross multiply
    215.52x = 297.34 × 163.05
  4. Step 4: Simplify right side
    215.52x = 48,481.29
  5. Step 5: Solve for x
    x = 48,481.29/215.52
  6. Step 6: Final answer
    x = 224.95

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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.