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Finding the Fourth Proportional to 146.86, 202.52 and 126.22

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Solution

The fourth proportional to 146.86, 202.52 and 126.22 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 202.52 = 126.22 : x
  2. Step 2: Convert to fraction form
    146.86/202.52 = 126.22/x
  3. Step 3: Cross multiply
    146.86x = 202.52 × 126.22
  4. Step 4: Simplify right side
    146.86x = 25,562.07
  5. Step 5: Solve for x
    x = 25,562.07/146.86
  6. Step 6: Final answer
    x = 174.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.