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Finding the Fourth Proportional to 241.60, 362.31 and 79.25

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Solution

The fourth proportional to 241.60, 362.31 and 79.25 is: 118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 362.31 = 79.25 : x
  2. Step 2: Convert to fraction form
    241.60/362.31 = 79.25/x
  3. Step 3: Cross multiply
    241.60x = 362.31 × 79.25
  4. Step 4: Simplify right side
    241.60x = 28,711.55
  5. Step 5: Solve for x
    x = 28,711.55/241.60
  6. Step 6: Final answer
    x = 118.84

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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.