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Finding the Fourth Proportional to 282.06, 422.28 and 209.70

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Solution

The fourth proportional to 282.06, 422.28 and 209.70 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 422.28 = 209.70 : x
  2. Step 2: Convert to fraction form
    282.06/422.28 = 209.70/x
  3. Step 3: Cross multiply
    282.06x = 422.28 × 209.70
  4. Step 4: Simplify right side
    282.06x = 88,552.12
  5. Step 5: Solve for x
    x = 88,552.12/282.06
  6. Step 6: Final answer
    x = 313.95

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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.