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Finding the Fourth Proportional to 192.31, 288.25 and 111.10

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Solution

The fourth proportional to 192.31, 288.25 and 111.10 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 288.25 = 111.10 : x
  2. Step 2: Convert to fraction form
    192.31/288.25 = 111.10/x
  3. Step 3: Cross multiply
    192.31x = 288.25 × 111.10
  4. Step 4: Simplify right side
    192.31x = 32,024.58
  5. Step 5: Solve for x
    x = 32,024.58/192.31
  6. Step 6: Final answer
    x = 166.53

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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.