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Finding the Fourth Proportional to 191.60, 287.52 and 83.48

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Solution

The fourth proportional to 191.60, 287.52 and 83.48 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.60 : 287.52 = 83.48 : x
  2. Step 2: Convert to fraction form
    191.60/287.52 = 83.48/x
  3. Step 3: Cross multiply
    191.60x = 287.52 × 83.48
  4. Step 4: Simplify right side
    191.60x = 24,002.17
  5. Step 5: Solve for x
    x = 24,002.17/191.60
  6. Step 6: Final answer
    x = 125.27

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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.