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Finding the Fourth Proportional to 241.95, 362.96 and 77.43

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Solution

The fourth proportional to 241.95, 362.96 and 77.43 is: 116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.95 : 362.96 = 77.43 : x
  2. Step 2: Convert to fraction form
    241.95/362.96 = 77.43/x
  3. Step 3: Cross multiply
    241.95x = 362.96 × 77.43
  4. Step 4: Simplify right side
    241.95x = 28,103.61
  5. Step 5: Solve for x
    x = 28,103.61/241.95
  6. Step 6: Final answer
    x = 116.15

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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.