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Finding the Fourth Proportional to 281.72, 388.64 and 165.24

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Solution

The fourth proportional to 281.72, 388.64 and 165.24 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 388.64 = 165.24 : x
  2. Step 2: Convert to fraction form
    281.72/388.64 = 165.24/x
  3. Step 3: Cross multiply
    281.72x = 388.64 × 165.24
  4. Step 4: Simplify right side
    281.72x = 64,218.87
  5. Step 5: Solve for x
    x = 64,218.87/281.72
  6. Step 6: Final answer
    x = 227.95

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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.