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Finding the Fourth Proportional to 224, 309.27 and 200.65

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Solution

The fourth proportional to 224, 309.27 and 200.65 is: 277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 309.27 = 200.65 : x
  2. Step 2: Convert to fraction form
    224/309.27 = 200.65/x
  3. Step 3: Cross multiply
    224x = 309.27 × 200.65
  4. Step 4: Simplify right side
    224x = 62,055.03
  5. Step 5: Solve for x
    x = 62,055.03/224
  6. Step 6: Final answer
    x = 277.03

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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.