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Finding the Fourth Proportional to 281.00, 387.65 and 182.76

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Solution

The fourth proportional to 281.00, 387.65 and 182.76 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.00 : 387.65 = 182.76 : x
  2. Step 2: Convert to fraction form
    281.00/387.65 = 182.76/x
  3. Step 3: Cross multiply
    281.00x = 387.65 × 182.76
  4. Step 4: Simplify right side
    281.00x = 70,847.37
  5. Step 5: Solve for x
    x = 70,847.37/281.00
  6. Step 6: Final answer
    x = 252.13

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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.