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Finding the Fourth Proportional to 192.05, 264.95 and 126.59

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Solution

The fourth proportional to 192.05, 264.95 and 126.59 is: 174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 264.95 = 126.59 : x
  2. Step 2: Convert to fraction form
    192.05/264.95 = 126.59/x
  3. Step 3: Cross multiply
    192.05x = 264.95 × 126.59
  4. Step 4: Simplify right side
    192.05x = 33,540.02
  5. Step 5: Solve for x
    x = 33,540.02/192.05
  6. Step 6: Final answer
    x = 174.64

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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.