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Finding the Fourth Proportional to 281.03, 387.59 and 182.81

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Solution

The fourth proportional to 281.03, 387.59 and 182.81 is: 252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.03 : 387.59 = 182.81 : x
  2. Step 2: Convert to fraction form
    281.03/387.59 = 182.81/x
  3. Step 3: Cross multiply
    281.03x = 387.59 × 182.81
  4. Step 4: Simplify right side
    281.03x = 70,852.48
  5. Step 5: Solve for x
    x = 70,852.48/281.03
  6. Step 6: Final answer
    x = 252.12

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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.