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Finding the Fourth Proportional to 281.76, 388.69 and 165.25

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Solution

The fourth proportional to 281.76, 388.69 and 165.25 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 388.69 = 165.25 : x
  2. Step 2: Convert to fraction form
    281.76/388.69 = 165.25/x
  3. Step 3: Cross multiply
    281.76x = 388.69 × 165.25
  4. Step 4: Simplify right side
    281.76x = 64,231.02
  5. Step 5: Solve for x
    x = 64,231.02/281.76
  6. Step 6: Final answer
    x = 227.96

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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.