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Finding the Fourth Proportional to 192.17, 288.17 and 82.41

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Solution

The fourth proportional to 192.17, 288.17 and 82.41 is: 123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 288.17 = 82.41 : x
  2. Step 2: Convert to fraction form
    192.17/288.17 = 82.41/x
  3. Step 3: Cross multiply
    192.17x = 288.17 × 82.41
  4. Step 4: Simplify right side
    192.17x = 23,748.30
  5. Step 5: Solve for x
    x = 23,748.30/192.17
  6. Step 6: Final answer
    x = 123.58

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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.