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Finding the Fourth Proportional to 169.48, 232.52 and 164.92

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Solution

The fourth proportional to 169.48, 232.52 and 164.92 is: 226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.48 : 232.52 = 164.92 : x
  2. Step 2: Convert to fraction form
    169.48/232.52 = 164.92/x
  3. Step 3: Cross multiply
    169.48x = 232.52 × 164.92
  4. Step 4: Simplify right side
    169.48x = 38,347.20
  5. Step 5: Solve for x
    x = 38,347.20/169.48
  6. Step 6: Final answer
    x = 226.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.