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Finding the Fourth Proportional to 224.07, 309.24 and 205.62

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Solution

The fourth proportional to 224.07, 309.24 and 205.62 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.07 : 309.24 = 205.62 : x
  2. Step 2: Convert to fraction form
    224.07/309.24 = 205.62/x
  3. Step 3: Cross multiply
    224.07x = 309.24 × 205.62
  4. Step 4: Simplify right side
    224.07x = 63,585.93
  5. Step 5: Solve for x
    x = 63,585.93/224.07
  6. Step 6: Final answer
    x = 283.78

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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.