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Finding the Fourth Proportional to 177.78, 266.25 and 145.68

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Solution

The fourth proportional to 177.78, 266.25 and 145.68 is: 218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 266.25 = 145.68 : x
  2. Step 2: Convert to fraction form
    177.78/266.25 = 145.68/x
  3. Step 3: Cross multiply
    177.78x = 266.25 × 145.68
  4. Step 4: Simplify right side
    177.78x = 38,787.30
  5. Step 5: Solve for x
    x = 38,787.30/177.78
  6. Step 6: Final answer
    x = 218.18

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