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Finding the Fourth Proportional to 281.30, 388.22 and 164.90

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Solution

The fourth proportional to 281.30, 388.22 and 164.90 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 388.22 = 164.90 : x
  2. Step 2: Convert to fraction form
    281.30/388.22 = 164.90/x
  3. Step 3: Cross multiply
    281.30x = 388.22 × 164.90
  4. Step 4: Simplify right side
    281.30x = 64,017.48
  5. Step 5: Solve for x
    x = 64,017.48/281.30
  6. Step 6: Final answer
    x = 227.58

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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.