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Finding the Fourth Proportional to 566.21, 849.33 and 200.86

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Solution

The fourth proportional to 566.21, 849.33 and 200.86 is: 301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.21 : 849.33 = 200.86 : x
  2. Step 2: Convert to fraction form
    566.21/849.33 = 200.86/x
  3. Step 3: Cross multiply
    566.21x = 849.33 × 200.86
  4. Step 4: Simplify right side
    566.21x = 170,594.30
  5. Step 5: Solve for x
    x = 170,594.30/566.21
  6. Step 6: Final answer
    x = 301.29

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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.