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Finding the Fourth Proportional to 215.56, 297.32 and 132.64

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Solution

The fourth proportional to 215.56, 297.32 and 132.64 is: 182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.56 : 297.32 = 132.64 : x
  2. Step 2: Convert to fraction form
    215.56/297.32 = 132.64/x
  3. Step 3: Cross multiply
    215.56x = 297.32 × 132.64
  4. Step 4: Simplify right side
    215.56x = 39,436.52
  5. Step 5: Solve for x
    x = 39,436.52/215.56
  6. Step 6: Final answer
    x = 182.95

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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.