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Finding the Fourth Proportional to 253.60, 380.42 and 77.94

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Solution

The fourth proportional to 253.60, 380.42 and 77.94 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.60 : 380.42 = 77.94 : x
  2. Step 2: Convert to fraction form
    253.60/380.42 = 77.94/x
  3. Step 3: Cross multiply
    253.60x = 380.42 × 77.94
  4. Step 4: Simplify right side
    253.60x = 29,650.56
  5. Step 5: Solve for x
    x = 29,650.56/253.60
  6. Step 6: Final answer
    x = 116.92

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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.