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Finding the Fourth Proportional to 215.61, 297.49 and 122.33

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Solution

The fourth proportional to 215.61, 297.49 and 122.33 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.61 : 297.49 = 122.33 : x
  2. Step 2: Convert to fraction form
    215.61/297.49 = 122.33/x
  3. Step 3: Cross multiply
    215.61x = 297.49 × 122.33
  4. Step 4: Simplify right side
    215.61x = 36,390.95
  5. Step 5: Solve for x
    x = 36,390.95/215.61
  6. Step 6: Final answer
    x = 168.78

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