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Finding the Fourth Proportional to 281.61, 420.02 and 238.56

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Solution

The fourth proportional to 281.61, 420.02 and 238.56 is: 355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.61 : 420.02 = 238.56 : x
  2. Step 2: Convert to fraction form
    281.61/420.02 = 238.56/x
  3. Step 3: Cross multiply
    281.61x = 420.02 × 238.56
  4. Step 4: Simplify right side
    281.61x = 100,198.78
  5. Step 5: Solve for x
    x = 100,198.78/281.61
  6. Step 6: Final answer
    x = 355.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.