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Finding the Fourth Proportional to 492.52, 738.81 and 145.86

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Solution

The fourth proportional to 492.52, 738.81 and 145.86 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 738.81 = 145.86 : x
  2. Step 2: Convert to fraction form
    492.52/738.81 = 145.86/x
  3. Step 3: Cross multiply
    492.52x = 738.81 × 145.86
  4. Step 4: Simplify right side
    492.52x = 107,762.83
  5. Step 5: Solve for x
    x = 107,762.83/492.52
  6. Step 6: Final answer
    x = 218.80

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