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Finding the Fourth Proportional to 192.56, 288.23 and 138.19

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Solution

The fourth proportional to 192.56, 288.23 and 138.19 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.56 : 288.23 = 138.19 : x
  2. Step 2: Convert to fraction form
    192.56/288.23 = 138.19/x
  3. Step 3: Cross multiply
    192.56x = 288.23 × 138.19
  4. Step 4: Simplify right side
    192.56x = 39,830.50
  5. Step 5: Solve for x
    x = 39,830.50/192.56
  6. Step 6: Final answer
    x = 206.85

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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.