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Finding the Fourth Proportional to 383.09, 574.66 and 109.16

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Solution

The fourth proportional to 383.09, 574.66 and 109.16 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.09 : 574.66 = 109.16 : x
  2. Step 2: Convert to fraction form
    383.09/574.66 = 109.16/x
  3. Step 3: Cross multiply
    383.09x = 574.66 × 109.16
  4. Step 4: Simplify right side
    383.09x = 62,729.65
  5. Step 5: Solve for x
    x = 62,729.65/383.09
  6. Step 6: Final answer
    x = 163.75

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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.