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Finding the Fourth Proportional to 215.52, 297.37 and 122.25

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Solution

The fourth proportional to 215.52, 297.37 and 122.25 is: 168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 297.37 = 122.25 : x
  2. Step 2: Convert to fraction form
    215.52/297.37 = 122.25/x
  3. Step 3: Cross multiply
    215.52x = 297.37 × 122.25
  4. Step 4: Simplify right side
    215.52x = 36,353.64
  5. Step 5: Solve for x
    x = 36,353.64/215.52
  6. Step 6: Final answer
    x = 168.68

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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.