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Finding the Fourth Proportional to 194.94, 269.04 and 107.64

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Solution

The fourth proportional to 194.94, 269.04 and 107.64 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.94 : 269.04 = 107.64 : x
  2. Step 2: Convert to fraction form
    194.94/269.04 = 107.64/x
  3. Step 3: Cross multiply
    194.94x = 269.04 × 107.64
  4. Step 4: Simplify right side
    194.94x = 28,959.47
  5. Step 5: Solve for x
    x = 28,959.47/194.94
  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.