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Finding the Fourth Proportional to 192.82, 288.99 and 84.55

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Solution

The fourth proportional to 192.82, 288.99 and 84.55 is: 126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 288.99 = 84.55 : x
  2. Step 2: Convert to fraction form
    192.82/288.99 = 84.55/x
  3. Step 3: Cross multiply
    192.82x = 288.99 × 84.55
  4. Step 4: Simplify right side
    192.82x = 24,434.10
  5. Step 5: Solve for x
    x = 24,434.10/192.82
  6. Step 6: Final answer
    x = 126.72

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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.