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Finding the Fourth Proportional to 169.46, 255.76 and 165.14

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Solution

The fourth proportional to 169.46, 255.76 and 165.14 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 255.76 = 165.14 : x
  2. Step 2: Convert to fraction form
    169.46/255.76 = 165.14/x
  3. Step 3: Cross multiply
    169.46x = 255.76 × 165.14
  4. Step 4: Simplify right side
    169.46x = 42,236.21
  5. Step 5: Solve for x
    x = 42,236.21/169.46
  6. Step 6: Final answer
    x = 249.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.