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Finding the Fourth Proportional to 191.65, 264.38 and 129.48

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Solution

The fourth proportional to 191.65, 264.38 and 129.48 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.65 : 264.38 = 129.48 : x
  2. Step 2: Convert to fraction form
    191.65/264.38 = 129.48/x
  3. Step 3: Cross multiply
    191.65x = 264.38 × 129.48
  4. Step 4: Simplify right side
    191.65x = 34,231.92
  5. Step 5: Solve for x
    x = 34,231.92/191.65
  6. Step 6: Final answer
    x = 178.62

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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.