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Finding the Fourth Proportional to 493.95, 740.42 and 185.66

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Solution

The fourth proportional to 493.95, 740.42 and 185.66 is: 278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.95 : 740.42 = 185.66 : x
  2. Step 2: Convert to fraction form
    493.95/740.42 = 185.66/x
  3. Step 3: Cross multiply
    493.95x = 740.42 × 185.66
  4. Step 4: Simplify right side
    493.95x = 137,466.38
  5. Step 5: Solve for x
    x = 137,466.38/493.95
  6. Step 6: Final answer
    x = 278.30

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