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Finding the Fourth Proportional to 281.12, 387.81 and 182.85

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Solution

The fourth proportional to 281.12, 387.81 and 182.85 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.12 : 387.81 = 182.85 : x
  2. Step 2: Convert to fraction form
    281.12/387.81 = 182.85/x
  3. Step 3: Cross multiply
    281.12x = 387.81 × 182.85
  4. Step 4: Simplify right side
    281.12x = 70,911.06
  5. Step 5: Solve for x
    x = 70,911.06/281.12
  6. Step 6: Final answer
    x = 252.25

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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.