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Finding the Fourth Proportional to 170.31, 234.51 and 149.48

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Solution

The fourth proportional to 170.31, 234.51 and 149.48 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.31 : 234.51 = 149.48 : x
  2. Step 2: Convert to fraction form
    170.31/234.51 = 149.48/x
  3. Step 3: Cross multiply
    170.31x = 234.51 × 149.48
  4. Step 4: Simplify right side
    170.31x = 35,053.70
  5. Step 5: Solve for x
    x = 35,053.70/170.31
  6. Step 6: Final answer
    x = 205.82

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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.