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Finding the Fourth Proportional to 169.26, 233.04 and 148.41

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Solution

The fourth proportional to 169.26, 233.04 and 148.41 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 233.04 = 148.41 : x
  2. Step 2: Convert to fraction form
    169.26/233.04 = 148.41/x
  3. Step 3: Cross multiply
    169.26x = 233.04 × 148.41
  4. Step 4: Simplify right side
    169.26x = 34,585.47
  5. Step 5: Solve for x
    x = 34,585.47/169.26
  6. Step 6: Final answer
    x = 204.33

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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.