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Finding the Fourth Proportional to 566.12, 849.26 and 200.81

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Solution

The fourth proportional to 566.12, 849.26 and 200.81 is: 301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.12 : 849.26 = 200.81 : x
  2. Step 2: Convert to fraction form
    566.12/849.26 = 200.81/x
  3. Step 3: Cross multiply
    566.12x = 849.26 × 200.81
  4. Step 4: Simplify right side
    566.12x = 170,542.53
  5. Step 5: Solve for x
    x = 170,542.53/566.12
  6. Step 6: Final answer
    x = 301.25

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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.