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Finding the Fourth Proportional to 493.54, 740.42 and 146.88

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Solution

The fourth proportional to 493.54, 740.42 and 146.88 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 740.42 = 146.88 : x
  2. Step 2: Convert to fraction form
    493.54/740.42 = 146.88/x
  3. Step 3: Cross multiply
    493.54x = 740.42 × 146.88
  4. Step 4: Simplify right side
    493.54x = 108,752.89
  5. Step 5: Solve for x
    x = 108,752.89/493.54
  6. Step 6: Final answer
    x = 220.35

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