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Finding the Fourth Proportional to 169.90, 233.96 and 149.06

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Solution

The fourth proportional to 169.90, 233.96 and 149.06 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.90 : 233.96 = 149.06 : x
  2. Step 2: Convert to fraction form
    169.90/233.96 = 149.06/x
  3. Step 3: Cross multiply
    169.90x = 233.96 × 149.06
  4. Step 4: Simplify right side
    169.90x = 34,874.08
  5. Step 5: Solve for x
    x = 34,874.08/169.90
  6. Step 6: Final answer
    x = 205.26

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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.