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Finding the Fourth Proportional to 282.56, 425.48 and 206.04

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Solution

The fourth proportional to 282.56, 425.48 and 206.04 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 425.48 = 206.04 : x
  2. Step 2: Convert to fraction form
    282.56/425.48 = 206.04/x
  3. Step 3: Cross multiply
    282.56x = 425.48 × 206.04
  4. Step 4: Simplify right side
    282.56x = 87,665.90
  5. Step 5: Solve for x
    x = 87,665.90/282.56
  6. Step 6: Final answer
    x = 310.26

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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.