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Finding the Fourth Proportional to 169.77, 255.24 and 148.53

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Solution

The fourth proportional to 169.77, 255.24 and 148.53 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.77 : 255.24 = 148.53 : x
  2. Step 2: Convert to fraction form
    169.77/255.24 = 148.53/x
  3. Step 3: Cross multiply
    169.77x = 255.24 × 148.53
  4. Step 4: Simplify right side
    169.77x = 37,910.80
  5. Step 5: Solve for x
    x = 37,910.80/169.77
  6. Step 6: Final answer
    x = 223.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.