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Finding the Fourth Proportional to 192.12, 288.17 and 111.53

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Solution

The fourth proportional to 192.12, 288.17 and 111.53 is: 167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.12 : 288.17 = 111.53 : x
  2. Step 2: Convert to fraction form
    192.12/288.17 = 111.53/x
  3. Step 3: Cross multiply
    192.12x = 288.17 × 111.53
  4. Step 4: Simplify right side
    192.12x = 32,139.60
  5. Step 5: Solve for x
    x = 32,139.60/192.12
  6. Step 6: Final answer
    x = 167.29

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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.