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Finding the Fourth Proportional to 281.50, 388.50 and 165.16

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Solution

The fourth proportional to 281.50, 388.50 and 165.16 is: 227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.50 : 388.50 = 165.16 : x
  2. Step 2: Convert to fraction form
    281.50/388.50 = 165.16/x
  3. Step 3: Cross multiply
    281.50x = 388.50 × 165.16
  4. Step 4: Simplify right side
    281.50x = 64,164.66
  5. Step 5: Solve for x
    x = 64,164.66/281.50
  6. Step 6: Final answer
    x = 227.94

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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.