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Finding the Fourth Proportional to 309.21, 426.71 and 169.34

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Solution

The fourth proportional to 309.21, 426.71 and 169.34 is: 233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 426.71 = 169.34 : x
  2. Step 2: Convert to fraction form
    309.21/426.71 = 169.34/x
  3. Step 3: Cross multiply
    309.21x = 426.71 × 169.34
  4. Step 4: Simplify right side
    309.21x = 72,259.12
  5. Step 5: Solve for x
    x = 72,259.12/309.21
  6. Step 6: Final answer
    x = 233.69

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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.