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Finding the Fourth Proportional to 192.60, 288.77 and 131.72

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Solution

The fourth proportional to 192.60, 288.77 and 131.72 is: 197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 288.77 = 131.72 : x
  2. Step 2: Convert to fraction form
    192.60/288.77 = 131.72/x
  3. Step 3: Cross multiply
    192.60x = 288.77 × 131.72
  4. Step 4: Simplify right side
    192.60x = 38,034.68
  5. Step 5: Solve for x
    x = 38,034.68/192.60
  6. Step 6: Final answer
    x = 197.48

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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.