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Finding the Fourth Proportional to 281.61, 388.60 and 165.17

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Solution

The fourth proportional to 281.61, 388.60 and 165.17 is: 227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 388.60 = 165.17 : x
  2. Step 2: Convert to fraction form
    281.61/388.60 = 165.17/x
  3. Step 3: Cross multiply
    281.61x = 388.60 × 165.17
  4. Step 4: Simplify right side
    281.61x = 64,185.62
  5. Step 5: Solve for x
    x = 64,185.62/281.61
  6. Step 6: Final answer
    x = 227.92

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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.