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Finding the Fourth Proportional to 383.06, 574.67 and 109.17

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Solution

The fourth proportional to 383.06, 574.67 and 109.17 is: 163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 574.67 = 109.17 : x
  2. Step 2: Convert to fraction form
    383.06/574.67 = 109.17/x
  3. Step 3: Cross multiply
    383.06x = 574.67 × 109.17
  4. Step 4: Simplify right side
    383.06x = 62,736.18
  5. Step 5: Solve for x
    x = 62,736.18/383.06
  6. Step 6: Final answer
    x = 163.78

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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.