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Finding the Fourth Proportional to 309.27, 426.76 and 184.90

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Solution

The fourth proportional to 309.27, 426.76 and 184.90 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.27 : 426.76 = 184.90 : x
  2. Step 2: Convert to fraction form
    309.27/426.76 = 184.90/x
  3. Step 3: Cross multiply
    309.27x = 426.76 × 184.90
  4. Step 4: Simplify right side
    309.27x = 78,907.92
  5. Step 5: Solve for x
    x = 78,907.92/309.27
  6. Step 6: Final answer
    x = 255.14

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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.