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Finding the Fourth Proportional to 282.14, 423.27 and 209.96

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Solution

The fourth proportional to 282.14, 423.27 and 209.96 is: 314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.14 : 423.27 = 209.96 : x
  2. Step 2: Convert to fraction form
    282.14/423.27 = 209.96/x
  3. Step 3: Cross multiply
    282.14x = 423.27 × 209.96
  4. Step 4: Simplify right side
    282.14x = 88,869.24
  5. Step 5: Solve for x
    x = 88,869.24/282.14
  6. Step 6: Final answer
    x = 314.98

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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.