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Finding the Fourth Proportional to 224.44, 309.94 and 201.16

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Solution

The fourth proportional to 224.44, 309.94 and 201.16 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.44 : 309.94 = 201.16 : x
  2. Step 2: Convert to fraction form
    224.44/309.94 = 201.16/x
  3. Step 3: Cross multiply
    224.44x = 309.94 × 201.16
  4. Step 4: Simplify right side
    224.44x = 62,347.53
  5. Step 5: Solve for x
    x = 62,347.53/224.44
  6. Step 6: Final answer
    x = 277.79

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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.