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Finding the Fourth Proportional to 191.76, 264.64 and 129.71

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Solution

The fourth proportional to 191.76, 264.64 and 129.71 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 264.64 = 129.71 : x
  2. Step 2: Convert to fraction form
    191.76/264.64 = 129.71/x
  3. Step 3: Cross multiply
    191.76x = 264.64 × 129.71
  4. Step 4: Simplify right side
    191.76x = 34,326.45
  5. Step 5: Solve for x
    x = 34,326.45/191.76
  6. Step 6: Final answer
    x = 179.01

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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.