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Finding the Fourth Proportional to 194.93, 269.01 and 107.60

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Solution

The fourth proportional to 194.93, 269.01 and 107.60 is: 148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.93 : 269.01 = 107.60 : x
  2. Step 2: Convert to fraction form
    194.93/269.01 = 107.60/x
  3. Step 3: Cross multiply
    194.93x = 269.01 × 107.60
  4. Step 4: Simplify right side
    194.93x = 28,946.15
  5. Step 5: Solve for x
    x = 28,946.15/194.93
  6. Step 6: Final answer
    x = 148.49

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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.