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Finding the Fourth Proportional to 802.16, 1,203 and 224.96

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Solution

The fourth proportional to 802.16, 1,203 and 224.96 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,203 = 224.96 : x
  2. Step 2: Convert to fraction form
    802.16/1,203 = 224.96/x
  3. Step 3: Cross multiply
    802.16x = 1,203 × 224.96
  4. Step 4: Simplify right side
    802.16x = 270,626.88
  5. Step 5: Solve for x
    x = 270,626.88/802.16
  6. Step 6: Final answer
    x = 337.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.