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Finding the Fourth Proportional to 169.13, 253.28 and 120.42

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Solution

The fourth proportional to 169.13, 253.28 and 120.42 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.13 : 253.28 = 120.42 : x
  2. Step 2: Convert to fraction form
    169.13/253.28 = 120.42/x
  3. Step 3: Cross multiply
    169.13x = 253.28 × 120.42
  4. Step 4: Simplify right side
    169.13x = 30,500.28
  5. Step 5: Solve for x
    x = 30,500.28/169.13
  6. Step 6: Final answer
    x = 180.33

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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.