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Finding the Fourth Proportional to 816.45, 1,224.68 and 200.16

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Solution

The fourth proportional to 816.45, 1,224.68 and 200.16 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.45 : 1,224.68 = 200.16 : x
  2. Step 2: Convert to fraction form
    816.45/1,224.68 = 200.16/x
  3. Step 3: Cross multiply
    816.45x = 1,224.68 × 200.16
  4. Step 4: Simplify right side
    816.45x = 245,124.82
  5. Step 5: Solve for x
    x = 245,124.82/816.45
  6. Step 6: Final answer
    x = 300.23

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Why These Related Problems?

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