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Finding the Fourth Proportional to 215.72, 297.71 and 122.49

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Solution

The fourth proportional to 215.72, 297.71 and 122.49 is: 169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.72 : 297.71 = 122.49 : x
  2. Step 2: Convert to fraction form
    215.72/297.71 = 122.49/x
  3. Step 3: Cross multiply
    215.72x = 297.71 × 122.49
  4. Step 4: Simplify right side
    215.72x = 36,466.50
  5. Step 5: Solve for x
    x = 36,466.50/215.72
  6. Step 6: Final answer
    x = 169.05

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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.