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Finding the Fourth Proportional to 192.32, 288.98 and 111.22

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Solution

The fourth proportional to 192.32, 288.98 and 111.22 is: 167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.32 : 288.98 = 111.22 : x
  2. Step 2: Convert to fraction form
    192.32/288.98 = 111.22/x
  3. Step 3: Cross multiply
    192.32x = 288.98 × 111.22
  4. Step 4: Simplify right side
    192.32x = 32,140.36
  5. Step 5: Solve for x
    x = 32,140.36/192.32
  6. Step 6: Final answer
    x = 167.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.