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Finding the Fourth Proportional to 191.92, 264.96 and 129.84

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Solution

The fourth proportional to 191.92, 264.96 and 129.84 is: 179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.92 : 264.96 = 129.84 : x
  2. Step 2: Convert to fraction form
    191.92/264.96 = 129.84/x
  3. Step 3: Cross multiply
    191.92x = 264.96 × 129.84
  4. Step 4: Simplify right side
    191.92x = 34,402.41
  5. Step 5: Solve for x
    x = 34,402.41/191.92
  6. Step 6: Final answer
    x = 179.25

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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.