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Finding the Fourth Proportional to 309.21, 426.71 and 169.33

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Solution

The fourth proportional to 309.21, 426.71 and 169.33 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 426.71 = 169.33 : x
  2. Step 2: Convert to fraction form
    309.21/426.71 = 169.33/x
  3. Step 3: Cross multiply
    309.21x = 426.71 × 169.33
  4. Step 4: Simplify right side
    309.21x = 72,253.69
  5. Step 5: Solve for x
    x = 72,253.69/309.21
  6. Step 6: Final answer
    x = 233.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.