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Finding the Fourth Proportional to 192.16, 265.44 and 140.68

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Solution

The fourth proportional to 192.16, 265.44 and 140.68 is: 194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 265.44 = 140.68 : x
  2. Step 2: Convert to fraction form
    192.16/265.44 = 140.68/x
  3. Step 3: Cross multiply
    192.16x = 265.44 × 140.68
  4. Step 4: Simplify right side
    192.16x = 37,342.10
  5. Step 5: Solve for x
    x = 37,342.10/192.16
  6. Step 6: Final answer
    x = 194.33

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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.