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Finding the Fourth Proportional to 191.47, 264.32 and 129.62

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Solution

The fourth proportional to 191.47, 264.32 and 129.62 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 264.32 = 129.62 : x
  2. Step 2: Convert to fraction form
    191.47/264.32 = 129.62/x
  3. Step 3: Cross multiply
    191.47x = 264.32 × 129.62
  4. Step 4: Simplify right side
    191.47x = 34,262.14
  5. Step 5: Solve for x
    x = 34,262.14/191.47
  6. Step 6: Final answer
    x = 178.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.