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Finding the Fourth Proportional to 170.46, 256.82 and 154.85

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Solution

The fourth proportional to 170.46, 256.82 and 154.85 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 256.82 = 154.85 : x
  2. Step 2: Convert to fraction form
    170.46/256.82 = 154.85/x
  3. Step 3: Cross multiply
    170.46x = 256.82 × 154.85
  4. Step 4: Simplify right side
    170.46x = 39,766.52
  5. Step 5: Solve for x
    x = 39,766.52/170.46
  6. Step 6: Final answer
    x = 233.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.