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Finding the Fourth Proportional to 192.95, 266.14 and 115.25

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Solution

The fourth proportional to 192.95, 266.14 and 115.25 is: 158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.95 : 266.14 = 115.25 : x
  2. Step 2: Convert to fraction form
    192.95/266.14 = 115.25/x
  3. Step 3: Cross multiply
    192.95x = 266.14 × 115.25
  4. Step 4: Simplify right side
    192.95x = 30,672.64
  5. Step 5: Solve for x
    x = 30,672.64/192.95
  6. Step 6: Final answer
    x = 158.97

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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.