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Finding the Fourth Proportional to 191.47, 287.10 and 114.46

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Solution

The fourth proportional to 191.47, 287.10 and 114.46 is: 171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.47 : 287.10 = 114.46 : x
  2. Step 2: Convert to fraction form
    191.47/287.10 = 114.46/x
  3. Step 3: Cross multiply
    191.47x = 287.10 × 114.46
  4. Step 4: Simplify right side
    191.47x = 32,861.47
  5. Step 5: Solve for x
    x = 32,861.47/191.47
  6. Step 6: Final answer
    x = 171.63

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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.