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Finding the Fourth Proportional to 177.91, 266.95 and 75.22

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Solution

The fourth proportional to 177.91, 266.95 and 75.22 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.91 : 266.95 = 75.22 : x
  2. Step 2: Convert to fraction form
    177.91/266.95 = 75.22/x
  3. Step 3: Cross multiply
    177.91x = 266.95 × 75.22
  4. Step 4: Simplify right side
    177.91x = 20,079.77
  5. Step 5: Solve for x
    x = 20,079.77/177.91
  6. Step 6: Final answer
    x = 112.86

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