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Finding the Fourth Proportional to 281.26, 388.02 and 164.62

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Solution

The fourth proportional to 281.26, 388.02 and 164.62 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 388.02 = 164.62 : x
  2. Step 2: Convert to fraction form
    281.26/388.02 = 164.62/x
  3. Step 3: Cross multiply
    281.26x = 388.02 × 164.62
  4. Step 4: Simplify right side
    281.26x = 63,875.85
  5. Step 5: Solve for x
    x = 63,875.85/281.26
  6. Step 6: Final answer
    x = 227.11

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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.