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Finding the Fourth Proportional to 281.61, 388.53 and 163.55

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Solution

The fourth proportional to 281.61, 388.53 and 163.55 is: 225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 388.53 = 163.55 : x
  2. Step 2: Convert to fraction form
    281.61/388.53 = 163.55/x
  3. Step 3: Cross multiply
    281.61x = 388.53 × 163.55
  4. Step 4: Simplify right side
    281.61x = 63,545.05
  5. Step 5: Solve for x
    x = 63,545.05/281.61
  6. Step 6: Final answer
    x = 225.65

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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.