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Finding the Fourth Proportional to 146.77, 202.75 and 126.27

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Solution

The fourth proportional to 146.77, 202.75 and 126.27 is: 174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 202.75 = 126.27 : x
  2. Step 2: Convert to fraction form
    146.77/202.75 = 126.27/x
  3. Step 3: Cross multiply
    146.77x = 202.75 × 126.27
  4. Step 4: Simplify right side
    146.77x = 25,600.93
  5. Step 5: Solve for x
    x = 25,600.93/146.77
  6. Step 6: Final answer
    x = 174.43

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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.