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Finding the Fourth Proportional to 390.18, 585.17 and 116.20

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Solution

The fourth proportional to 390.18, 585.17 and 116.20 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 585.17 = 116.20 : x
  2. Step 2: Convert to fraction form
    390.18/585.17 = 116.20/x
  3. Step 3: Cross multiply
    390.18x = 585.17 × 116.20
  4. Step 4: Simplify right side
    390.18x = 67,997.99
  5. Step 5: Solve for x
    x = 67,997.99/390.18
  6. Step 6: Final answer
    x = 174.27

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Why These Related Problems?

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