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Finding the Fourth Proportional to 309.68, 426.90 and 250.65

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Solution

The fourth proportional to 309.68, 426.90 and 250.65 is: 345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.68 : 426.90 = 250.65 : x
  2. Step 2: Convert to fraction form
    309.68/426.90 = 250.65/x
  3. Step 3: Cross multiply
    309.68x = 426.90 × 250.65
  4. Step 4: Simplify right side
    309.68x = 107,002.49
  5. Step 5: Solve for x
    x = 107,002.49/309.68
  6. Step 6: Final answer
    x = 345.53

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