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Finding the Fourth Proportional to 194.96, 269.08 and 107.64

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Solution

The fourth proportional to 194.96, 269.08 and 107.64 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 269.08 = 107.64 : x
  2. Step 2: Convert to fraction form
    194.96/269.08 = 107.64/x
  3. Step 3: Cross multiply
    194.96x = 269.08 × 107.64
  4. Step 4: Simplify right side
    194.96x = 28,963.77
  5. Step 5: Solve for x
    x = 28,963.77/194.96
  6. Step 6: Final answer
    x = 148.56

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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.