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Finding the Fourth Proportional to 309.06, 426.49 and 176.27

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Solution

The fourth proportional to 309.06, 426.49 and 176.27 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 426.49 = 176.27 : x
  2. Step 2: Convert to fraction form
    309.06/426.49 = 176.27/x
  3. Step 3: Cross multiply
    309.06x = 426.49 × 176.27
  4. Step 4: Simplify right side
    309.06x = 75,177.39
  5. Step 5: Solve for x
    x = 75,177.39/309.06
  6. Step 6: Final answer
    x = 243.25

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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.