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Finding the Fourth Proportional to 390.78, 585.88 and 147.20

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Solution

The fourth proportional to 390.78, 585.88 and 147.20 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 585.88 = 147.20 : x
  2. Step 2: Convert to fraction form
    390.78/585.88 = 147.20/x
  3. Step 3: Cross multiply
    390.78x = 585.88 × 147.20
  4. Step 4: Simplify right side
    390.78x = 86,238.24
  5. Step 5: Solve for x
    x = 86,238.24/390.78
  6. Step 6: Final answer
    x = 220.68

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