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Finding the Fourth Proportional to 170.91, 235.98 and 149.04

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Solution

The fourth proportional to 170.91, 235.98 and 149.04 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.91 : 235.98 = 149.04 : x
  2. Step 2: Convert to fraction form
    170.91/235.98 = 149.04/x
  3. Step 3: Cross multiply
    170.91x = 235.98 × 149.04
  4. Step 4: Simplify right side
    170.91x = 35,170.46
  5. Step 5: Solve for x
    x = 35,170.46/170.91
  6. Step 6: Final answer
    x = 205.78

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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.