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Finding the Fourth Proportional to 194.98, 269.08 and 107.66

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Solution

The fourth proportional to 194.98, 269.08 and 107.66 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 269.08 = 107.66 : x
  2. Step 2: Convert to fraction form
    194.98/269.08 = 107.66/x
  3. Step 3: Cross multiply
    194.98x = 269.08 × 107.66
  4. Step 4: Simplify right side
    194.98x = 28,969.15
  5. Step 5: Solve for x
    x = 28,969.15/194.98
  6. Step 6: Final answer
    x = 148.57

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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.