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Finding the Fourth Proportional to 281.62, 422.64 and 209.50

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Solution

The fourth proportional to 281.62, 422.64 and 209.50 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.62 : 422.64 = 209.50 : x
  2. Step 2: Convert to fraction form
    281.62/422.64 = 209.50/x
  3. Step 3: Cross multiply
    281.62x = 422.64 × 209.50
  4. Step 4: Simplify right side
    281.62x = 88,543.08
  5. Step 5: Solve for x
    x = 88,543.08/281.62
  6. Step 6: Final answer
    x = 314.41

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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.