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Finding the Fourth Proportional to 281.80, 389.30 and 223.18

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Solution

The fourth proportional to 281.80, 389.30 and 223.18 is: 308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 389.30 = 223.18 : x
  2. Step 2: Convert to fraction form
    281.80/389.30 = 223.18/x
  3. Step 3: Cross multiply
    281.80x = 389.30 × 223.18
  4. Step 4: Simplify right side
    281.80x = 86,883.97
  5. Step 5: Solve for x
    x = 86,883.97/281.80
  6. Step 6: Final answer
    x = 308.32

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Why These Related Problems?

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