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Finding the Fourth Proportional to 281.34, 387.90 and 219.24

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Solution

The fourth proportional to 281.34, 387.90 and 219.24 is: 302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 387.90 = 219.24 : x
  2. Step 2: Convert to fraction form
    281.34/387.90 = 219.24/x
  3. Step 3: Cross multiply
    281.34x = 387.90 × 219.24
  4. Step 4: Simplify right side
    281.34x = 85,043.20
  5. Step 5: Solve for x
    x = 85,043.20/281.34
  6. Step 6: Final answer
    x = 302.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.