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Finding the Fourth Proportional to 253.56, 380.28 and 82.56

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Solution

The fourth proportional to 253.56, 380.28 and 82.56 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.56 : 380.28 = 82.56 : x
  2. Step 2: Convert to fraction form
    253.56/380.28 = 82.56/x
  3. Step 3: Cross multiply
    253.56x = 380.28 × 82.56
  4. Step 4: Simplify right side
    253.56x = 31,395.92
  5. Step 5: Solve for x
    x = 31,395.92/253.56
  6. Step 6: Final answer
    x = 123.82

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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.