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Finding the Fourth Proportional to 192, 288 and 76.45

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Solution

The fourth proportional to 192, 288 and 76.45 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192 : 288 = 76.45 : x
  2. Step 2: Convert to fraction form
    192/288 = 76.45/x
  3. Step 3: Cross multiply
    192x = 288 × 76.45
  4. Step 4: Simplify right side
    192x = 22,017.60
  5. Step 5: Solve for x
    x = 22,017.60/192
  6. Step 6: Final answer
    x = 114.68

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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.