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Finding the Fourth Proportional to 309.05, 426.45 and 176.29

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Solution

The fourth proportional to 309.05, 426.45 and 176.29 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.05 : 426.45 = 176.29 : x
  2. Step 2: Convert to fraction form
    309.05/426.45 = 176.29/x
  3. Step 3: Cross multiply
    309.05x = 426.45 × 176.29
  4. Step 4: Simplify right side
    309.05x = 75,180.86
  5. Step 5: Solve for x
    x = 75,180.86/309.05
  6. Step 6: Final answer
    x = 243.26

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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.