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Finding the Fourth Proportional to 169.74, 234.51 and 142.02

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Solution

The fourth proportional to 169.74, 234.51 and 142.02 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.74 : 234.51 = 142.02 : x
  2. Step 2: Convert to fraction form
    169.74/234.51 = 142.02/x
  3. Step 3: Cross multiply
    169.74x = 234.51 × 142.02
  4. Step 4: Simplify right side
    169.74x = 33,305.11
  5. Step 5: Solve for x
    x = 33,305.11/169.74
  6. Step 6: Final answer
    x = 196.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.