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Finding the Fourth Proportional to 309.14, 426.62 and 184.90

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Solution

The fourth proportional to 309.14, 426.62 and 184.90 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 426.62 = 184.90 : x
  2. Step 2: Convert to fraction form
    309.14/426.62 = 184.90/x
  3. Step 3: Cross multiply
    309.14x = 426.62 × 184.90
  4. Step 4: Simplify right side
    309.14x = 78,881.43
  5. Step 5: Solve for x
    x = 78,881.43/309.14
  6. Step 6: Final answer
    x = 255.16

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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.