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Finding the Fourth Proportional to 309.19, 426.72 and 184.84

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Solution

The fourth proportional to 309.19, 426.72 and 184.84 is: 255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.19 : 426.72 = 184.84 : x
  2. Step 2: Convert to fraction form
    309.19/426.72 = 184.84/x
  3. Step 3: Cross multiply
    309.19x = 426.72 × 184.84
  4. Step 4: Simplify right side
    309.19x = 78,874.92
  5. Step 5: Solve for x
    x = 78,874.92/309.19
  6. Step 6: Final answer
    x = 255.10

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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.