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Finding the Fourth Proportional to 390.20, 585.12 and 116.22

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Solution

The fourth proportional to 390.20, 585.12 and 116.22 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.20 : 585.12 = 116.22 : x
  2. Step 2: Convert to fraction form
    390.20/585.12 = 116.22/x
  3. Step 3: Cross multiply
    390.20x = 585.12 × 116.22
  4. Step 4: Simplify right side
    390.20x = 68,002.65
  5. Step 5: Solve for x
    x = 68,002.65/390.20
  6. Step 6: Final answer
    x = 174.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.