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Finding the Fourth Proportional to 566.26, 849.23 and 200.85

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Solution

The fourth proportional to 566.26, 849.23 and 200.85 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 849.23 = 200.85 : x
  2. Step 2: Convert to fraction form
    566.26/849.23 = 200.85/x
  3. Step 3: Cross multiply
    566.26x = 849.23 × 200.85
  4. Step 4: Simplify right side
    566.26x = 170,567.85
  5. Step 5: Solve for x
    x = 170,567.85/566.26
  6. Step 6: Final answer
    x = 301.22

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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.