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Finding the Fourth Proportional to 253.24, 381.44 and 246.76

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Solution

The fourth proportional to 253.24, 381.44 and 246.76 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 381.44 = 246.76 : x
  2. Step 2: Convert to fraction form
    253.24/381.44 = 246.76/x
  3. Step 3: Cross multiply
    253.24x = 381.44 × 246.76
  4. Step 4: Simplify right side
    253.24x = 94,124.13
  5. Step 5: Solve for x
    x = 94,124.13/253.24
  6. Step 6: Final answer
    x = 371.68

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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.