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Finding the Fourth Proportional to 224.05, 337.60 and 184.36

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Solution

The fourth proportional to 224.05, 337.60 and 184.36 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 337.60 = 184.36 : x
  2. Step 2: Convert to fraction form
    224.05/337.60 = 184.36/x
  3. Step 3: Cross multiply
    224.05x = 337.60 × 184.36
  4. Step 4: Simplify right side
    224.05x = 62,239.94
  5. Step 5: Solve for x
    x = 62,239.94/224.05
  6. Step 6: Final answer
    x = 277.79

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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.