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Finding the Fourth Proportional to 281.57, 388.61 and 165.14

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Solution

The fourth proportional to 281.57, 388.61 and 165.14 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.57 : 388.61 = 165.14 : x
  2. Step 2: Convert to fraction form
    281.57/388.61 = 165.14/x
  3. Step 3: Cross multiply
    281.57x = 388.61 × 165.14
  4. Step 4: Simplify right side
    281.57x = 64,172.29
  5. Step 5: Solve for x
    x = 64,172.29/281.57
  6. Step 6: Final answer
    x = 227.91

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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.