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Finding the Fourth Proportional to 192.29, 288.45 and 76.74

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Solution

The fourth proportional to 192.29, 288.45 and 76.74 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 288.45 = 76.74 : x
  2. Step 2: Convert to fraction form
    192.29/288.45 = 76.74/x
  3. Step 3: Cross multiply
    192.29x = 288.45 × 76.74
  4. Step 4: Simplify right side
    192.29x = 22,135.65
  5. Step 5: Solve for x
    x = 22,135.65/192.29
  6. Step 6: Final answer
    x = 115.12

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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.