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Finding the Fourth Proportional to 285.93, 428.66 and 177.80

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Solution

The fourth proportional to 285.93, 428.66 and 177.80 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 428.66 = 177.80 : x
  2. Step 2: Convert to fraction form
    285.93/428.66 = 177.80/x
  3. Step 3: Cross multiply
    285.93x = 428.66 × 177.80
  4. Step 4: Simplify right side
    285.93x = 76,213.38
  5. Step 5: Solve for x
    x = 76,213.38/285.93
  6. Step 6: Final answer
    x = 266.55

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