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Finding the Fourth Proportional to 191.90, 287.18 and 186.68

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Solution

The fourth proportional to 191.90, 287.18 and 186.68 is: 279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.90 : 287.18 = 186.68 : x
  2. Step 2: Convert to fraction form
    191.90/287.18 = 186.68/x
  3. Step 3: Cross multiply
    191.90x = 287.18 × 186.68
  4. Step 4: Simplify right side
    191.90x = 53,610.76
  5. Step 5: Solve for x
    x = 53,610.76/191.90
  6. Step 6: Final answer
    x = 279.37

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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.