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Finding the Fourth Proportional to 191.76, 286.94 and 114.76

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Solution

The fourth proportional to 191.76, 286.94 and 114.76 is: 171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 286.94 = 114.76 : x
  2. Step 2: Convert to fraction form
    191.76/286.94 = 114.76/x
  3. Step 3: Cross multiply
    191.76x = 286.94 × 114.76
  4. Step 4: Simplify right side
    191.76x = 32,929.23
  5. Step 5: Solve for x
    x = 32,929.23/191.76
  6. Step 6: Final answer
    x = 171.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.