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Finding the Fourth Proportional to 194.93, 269.00 and 112.02

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Solution

The fourth proportional to 194.93, 269.00 and 112.02 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.93 : 269.00 = 112.02 : x
  2. Step 2: Convert to fraction form
    194.93/269.00 = 112.02/x
  3. Step 3: Cross multiply
    194.93x = 269.00 × 112.02
  4. Step 4: Simplify right side
    194.93x = 30,133.24
  5. Step 5: Solve for x
    x = 30,133.24/194.93
  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.