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Finding the Fourth Proportional to 224.56, 338.36 and 184.87

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Solution

The fourth proportional to 224.56, 338.36 and 184.87 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 338.36 = 184.87 : x
  2. Step 2: Convert to fraction form
    224.56/338.36 = 184.87/x
  3. Step 3: Cross multiply
    224.56x = 338.36 × 184.87
  4. Step 4: Simplify right side
    224.56x = 62,550.92
  5. Step 5: Solve for x
    x = 62,550.92/224.56
  6. Step 6: Final answer
    x = 278.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.