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Finding the Fourth Proportional to 191.57, 264.67 and 129.60

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Solution

The fourth proportional to 191.57, 264.67 and 129.60 is: 179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 264.67 = 129.60 : x
  2. Step 2: Convert to fraction form
    191.57/264.67 = 129.60/x
  3. Step 3: Cross multiply
    191.57x = 264.67 × 129.60
  4. Step 4: Simplify right side
    191.57x = 34,300.91
  5. Step 5: Solve for x
    x = 34,300.91/191.57
  6. Step 6: Final answer
    x = 179.06

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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.