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Finding the Fourth Proportional to 390.42, 585.26 and 146.88

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Solution

The fourth proportional to 390.42, 585.26 and 146.88 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 585.26 = 146.88 : x
  2. Step 2: Convert to fraction form
    390.42/585.26 = 146.88/x
  3. Step 3: Cross multiply
    390.42x = 585.26 × 146.88
  4. Step 4: Simplify right side
    390.42x = 85,962.99
  5. Step 5: Solve for x
    x = 85,962.99/390.42
  6. Step 6: Final answer
    x = 220.18

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