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Finding the Fourth Proportional to 281.75, 389.00 and 176.88

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Solution

The fourth proportional to 281.75, 389.00 and 176.88 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.75 : 389.00 = 176.88 : x
  2. Step 2: Convert to fraction form
    281.75/389.00 = 176.88/x
  3. Step 3: Cross multiply
    281.75x = 389.00 × 176.88
  4. Step 4: Simplify right side
    281.75x = 68,805.44
  5. Step 5: Solve for x
    x = 68,805.44/281.75
  6. Step 6: Final answer
    x = 244.21

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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.