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Finding the Fourth Proportional to 281.65, 388.72 and 169.62

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Solution

The fourth proportional to 281.65, 388.72 and 169.62 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 388.72 = 169.62 : x
  2. Step 2: Convert to fraction form
    281.65/388.72 = 169.62/x
  3. Step 3: Cross multiply
    281.65x = 388.72 × 169.62
  4. Step 4: Simplify right side
    281.65x = 65,934.69
  5. Step 5: Solve for x
    x = 65,934.69/281.65
  6. Step 6: Final answer
    x = 234.10

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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.