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Finding the Fourth Proportional to 282.33, 422.70 and 170.82

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Solution

The fourth proportional to 282.33, 422.70 and 170.82 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.33 : 422.70 = 170.82 : x
  2. Step 2: Convert to fraction form
    282.33/422.70 = 170.82/x
  3. Step 3: Cross multiply
    282.33x = 422.70 × 170.82
  4. Step 4: Simplify right side
    282.33x = 72,205.61
  5. Step 5: Solve for x
    x = 72,205.61/282.33
  6. Step 6: Final answer
    x = 255.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.