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Finding the Fourth Proportional to 224.03, 308.81 and 205.20

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Solution

The fourth proportional to 224.03, 308.81 and 205.20 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.03 : 308.81 = 205.20 : x
  2. Step 2: Convert to fraction form
    224.03/308.81 = 205.20/x
  3. Step 3: Cross multiply
    224.03x = 308.81 × 205.20
  4. Step 4: Simplify right side
    224.03x = 63,368.33
  5. Step 5: Solve for x
    x = 63,368.33/224.03
  6. Step 6: Final answer
    x = 282.85

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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.