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Finding the Fourth Proportional to 215.16, 322.70 and 78.27

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Solution

The fourth proportional to 215.16, 322.70 and 78.27 is: 117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 322.70 = 78.27 : x
  2. Step 2: Convert to fraction form
    215.16/322.70 = 78.27/x
  3. Step 3: Cross multiply
    215.16x = 322.70 × 78.27
  4. Step 4: Simplify right side
    215.16x = 25,257.73
  5. Step 5: Solve for x
    x = 25,257.73/215.16
  6. Step 6: Final answer
    x = 117.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.