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Finding the Fourth Proportional to 169.80, 253.57 and 166.92

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Solution

The fourth proportional to 169.80, 253.57 and 166.92 is: 249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 253.57 = 166.92 : x
  2. Step 2: Convert to fraction form
    169.80/253.57 = 166.92/x
  3. Step 3: Cross multiply
    169.80x = 253.57 × 166.92
  4. Step 4: Simplify right side
    169.80x = 42,325.90
  5. Step 5: Solve for x
    x = 42,325.90/169.80
  6. Step 6: Final answer
    x = 249.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.