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Finding the Fourth Proportional to 174.65, 261.96 and 78.46

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Solution

The fourth proportional to 174.65, 261.96 and 78.46 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 261.96 = 78.46 : x
  2. Step 2: Convert to fraction form
    174.65/261.96 = 78.46/x
  3. Step 3: Cross multiply
    174.65x = 261.96 × 78.46
  4. Step 4: Simplify right side
    174.65x = 20,553.38
  5. Step 5: Solve for x
    x = 20,553.38/174.65
  6. Step 6: Final answer
    x = 117.68

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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.