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Finding the Fourth Proportional to 309.22, 426.33 and 210.80

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Solution

The fourth proportional to 309.22, 426.33 and 210.80 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 426.33 = 210.80 : x
  2. Step 2: Convert to fraction form
    309.22/426.33 = 210.80/x
  3. Step 3: Cross multiply
    309.22x = 426.33 × 210.80
  4. Step 4: Simplify right side
    309.22x = 89,871.43
  5. Step 5: Solve for x
    x = 89,871.43/309.22
  6. Step 6: Final answer
    x = 290.64

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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.