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Finding the Fourth Proportional to 390.23, 585.49 and 146.76

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Solution

The fourth proportional to 390.23, 585.49 and 146.76 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 585.49 = 146.76 : x
  2. Step 2: Convert to fraction form
    390.23/585.49 = 146.76/x
  3. Step 3: Cross multiply
    390.23x = 585.49 × 146.76
  4. Step 4: Simplify right side
    390.23x = 85,926.51
  5. Step 5: Solve for x
    x = 85,926.51/390.23
  6. Step 6: Final answer
    x = 220.19

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