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Finding the Fourth Proportional to 380.11, 570.17 and 106.22

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Solution

The fourth proportional to 380.11, 570.17 and 106.22 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 570.17 = 106.22 : x
  2. Step 2: Convert to fraction form
    380.11/570.17 = 106.22/x
  3. Step 3: Cross multiply
    380.11x = 570.17 × 106.22
  4. Step 4: Simplify right side
    380.11x = 60,563.01
  5. Step 5: Solve for x
    x = 60,563.01/380.11
  6. Step 6: Final answer
    x = 159.33

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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.