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Finding the Fourth Proportional to 169.09, 254.81 and 160.85

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Solution

The fourth proportional to 169.09, 254.81 and 160.85 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.09 : 254.81 = 160.85 : x
  2. Step 2: Convert to fraction form
    169.09/254.81 = 160.85/x
  3. Step 3: Cross multiply
    169.09x = 254.81 × 160.85
  4. Step 4: Simplify right side
    169.09x = 40,987.23
  5. Step 5: Solve for x
    x = 40,987.23/169.09
  6. Step 6: Final answer
    x = 242.40

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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.