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Finding the Fourth Proportional to 191.92, 264.86 and 104.60

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Solution

The fourth proportional to 191.92, 264.86 and 104.60 is: 144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.92 : 264.86 = 104.60 : x
  2. Step 2: Convert to fraction form
    191.92/264.86 = 104.60/x
  3. Step 3: Cross multiply
    191.92x = 264.86 × 104.60
  4. Step 4: Simplify right side
    191.92x = 27,704.36
  5. Step 5: Solve for x
    x = 27,704.36/191.92
  6. Step 6: Final answer
    x = 144.35

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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.