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Finding the Fourth Proportional to 253.25, 379.97 and 82.25

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Solution

The fourth proportional to 253.25, 379.97 and 82.25 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.25 : 379.97 = 82.25 : x
  2. Step 2: Convert to fraction form
    253.25/379.97 = 82.25/x
  3. Step 3: Cross multiply
    253.25x = 379.97 × 82.25
  4. Step 4: Simplify right side
    253.25x = 31,252.53
  5. Step 5: Solve for x
    x = 31,252.53/253.25
  6. Step 6: Final answer
    x = 123.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.