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Finding the Fourth Proportional to 192.24, 264.84 and 157.68

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Solution

The fourth proportional to 192.24, 264.84 and 157.68 is: 217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.24 : 264.84 = 157.68 : x
  2. Step 2: Convert to fraction form
    192.24/264.84 = 157.68/x
  3. Step 3: Cross multiply
    192.24x = 264.84 × 157.68
  4. Step 4: Simplify right side
    192.24x = 41,759.97
  5. Step 5: Solve for x
    x = 41,759.97/192.24
  6. Step 6: Final answer
    x = 217.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.