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Finding the Fourth Proportional to 281.82, 422.88 and 213.32

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Solution

The fourth proportional to 281.82, 422.88 and 213.32 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.82 : 422.88 = 213.32 : x
  2. Step 2: Convert to fraction form
    281.82/422.88 = 213.32/x
  3. Step 3: Cross multiply
    281.82x = 422.88 × 213.32
  4. Step 4: Simplify right side
    281.82x = 90,209.02
  5. Step 5: Solve for x
    x = 90,209.02/281.82
  6. Step 6: Final answer
    x = 320.10

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