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Finding the Fourth Proportional to 169.96, 233.29 and 151.12

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Solution

The fourth proportional to 169.96, 233.29 and 151.12 is: 207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.96 : 233.29 = 151.12 : x
  2. Step 2: Convert to fraction form
    169.96/233.29 = 151.12/x
  3. Step 3: Cross multiply
    169.96x = 233.29 × 151.12
  4. Step 4: Simplify right side
    169.96x = 35,254.78
  5. Step 5: Solve for x
    x = 35,254.78/169.96
  6. Step 6: Final answer
    x = 207.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.