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Finding the Fourth Proportional to 174.93, 262.34 and 77.42

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Solution

The fourth proportional to 174.93, 262.34 and 77.42 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.93 : 262.34 = 77.42 : x
  2. Step 2: Convert to fraction form
    174.93/262.34 = 77.42/x
  3. Step 3: Cross multiply
    174.93x = 262.34 × 77.42
  4. Step 4: Simplify right side
    174.93x = 20,310.92
  5. Step 5: Solve for x
    x = 20,310.92/174.93
  6. Step 6: Final answer
    x = 116.11

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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.