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Finding the Fourth Proportional to 192.08, 288.25 and 76.52

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Solution

The fourth proportional to 192.08, 288.25 and 76.52 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 288.25 = 76.52 : x
  2. Step 2: Convert to fraction form
    192.08/288.25 = 76.52/x
  3. Step 3: Cross multiply
    192.08x = 288.25 × 76.52
  4. Step 4: Simplify right side
    192.08x = 22,056.89
  5. Step 5: Solve for x
    x = 22,056.89/192.08
  6. Step 6: Final answer
    x = 114.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.