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Finding the Fourth Proportional to 281.76, 424.20 and 249.45

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Solution

The fourth proportional to 281.76, 424.20 and 249.45 is: 375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.76 : 424.20 = 249.45 : x
  2. Step 2: Convert to fraction form
    281.76/424.20 = 249.45/x
  3. Step 3: Cross multiply
    281.76x = 424.20 × 249.45
  4. Step 4: Simplify right side
    281.76x = 105,816.69
  5. Step 5: Solve for x
    x = 105,816.69/281.76
  6. Step 6: Final answer
    x = 375.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.