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Finding the Fourth Proportional to 816.42, 1,224.62 and 200.13

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Solution

The fourth proportional to 816.42, 1,224.62 and 200.13 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.42 : 1,224.62 = 200.13 : x
  2. Step 2: Convert to fraction form
    816.42/1,224.62 = 200.13/x
  3. Step 3: Cross multiply
    816.42x = 1,224.62 × 200.13
  4. Step 4: Simplify right side
    816.42x = 245,083.20
  5. Step 5: Solve for x
    x = 245,083.20/816.42
  6. Step 6: Final answer
    x = 300.19

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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.