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Finding the Fourth Proportional to 281.89, 389.19 and 177.12

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Solution

The fourth proportional to 281.89, 389.19 and 177.12 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.89 : 389.19 = 177.12 : x
  2. Step 2: Convert to fraction form
    281.89/389.19 = 177.12/x
  3. Step 3: Cross multiply
    281.89x = 389.19 × 177.12
  4. Step 4: Simplify right side
    281.89x = 68,932.67
  5. Step 5: Solve for x
    x = 68,932.67/281.89
  6. Step 6: Final answer
    x = 244.54

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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.