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Finding the Fourth Proportional to 215.34, 323.14 and 78.38

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Solution

The fourth proportional to 215.34, 323.14 and 78.38 is: 117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 323.14 = 78.38 : x
  2. Step 2: Convert to fraction form
    215.34/323.14 = 78.38/x
  3. Step 3: Cross multiply
    215.34x = 323.14 × 78.38
  4. Step 4: Simplify right side
    215.34x = 25,327.71
  5. Step 5: Solve for x
    x = 25,327.71/215.34
  6. Step 6: Final answer
    x = 117.62

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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.