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Finding the Fourth Proportional to 253.28, 381.50 and 246.80

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Solution

The fourth proportional to 253.28, 381.50 and 246.80 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 381.50 = 246.80 : x
  2. Step 2: Convert to fraction form
    253.28/381.50 = 246.80/x
  3. Step 3: Cross multiply
    253.28x = 381.50 × 246.80
  4. Step 4: Simplify right side
    253.28x = 94,154.20
  5. Step 5: Solve for x
    x = 94,154.20/253.28
  6. Step 6: Final answer
    x = 371.74

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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.