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Finding the Fourth Proportional to 169.42, 254.23 and 111.51

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Solution

The fourth proportional to 169.42, 254.23 and 111.51 is: 167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 254.23 = 111.51 : x
  2. Step 2: Convert to fraction form
    169.42/254.23 = 111.51/x
  3. Step 3: Cross multiply
    169.42x = 254.23 × 111.51
  4. Step 4: Simplify right side
    169.42x = 28,349.19
  5. Step 5: Solve for x
    x = 28,349.19/169.42
  6. Step 6: Final answer
    x = 167.33

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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.