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Finding the Fourth Proportional to 194.89, 268.95 and 112.02

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Solution

The fourth proportional to 194.89, 268.95 and 112.02 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.89 : 268.95 = 112.02 : x
  2. Step 2: Convert to fraction form
    194.89/268.95 = 112.02/x
  3. Step 3: Cross multiply
    194.89x = 268.95 × 112.02
  4. Step 4: Simplify right side
    194.89x = 30,128.14
  5. Step 5: Solve for x
    x = 30,128.14/194.89
  6. Step 6: Final answer
    x = 154.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.