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Finding the Fourth Proportional to 241.95, 362.84 and 112.02

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Solution

The fourth proportional to 241.95, 362.84 and 112.02 is: 167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.95 : 362.84 = 112.02 : x
  2. Step 2: Convert to fraction form
    241.95/362.84 = 112.02/x
  3. Step 3: Cross multiply
    241.95x = 362.84 × 112.02
  4. Step 4: Simplify right side
    241.95x = 40,644.78
  5. Step 5: Solve for x
    x = 40,644.78/241.95
  6. Step 6: Final answer
    x = 167.99

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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.