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Finding the Fourth Proportional to 174.27, 239.94 and 146.55

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Solution

The fourth proportional to 174.27, 239.94 and 146.55 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.27 : 239.94 = 146.55 : x
  2. Step 2: Convert to fraction form
    174.27/239.94 = 146.55/x
  3. Step 3: Cross multiply
    174.27x = 239.94 × 146.55
  4. Step 4: Simplify right side
    174.27x = 35,163.21
  5. Step 5: Solve for x
    x = 35,163.21/174.27
  6. Step 6: Final answer
    x = 201.77

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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.