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Finding the Fourth Proportional to 566.22, 849 and 200.86

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Solution

The fourth proportional to 566.22, 849 and 200.86 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 849 = 200.86 : x
  2. Step 2: Convert to fraction form
    566.22/849 = 200.86/x
  3. Step 3: Cross multiply
    566.22x = 849 × 200.86
  4. Step 4: Simplify right side
    566.22x = 170,530.14
  5. Step 5: Solve for x
    x = 170,530.14/566.22
  6. Step 6: Final answer
    x = 301.17

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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.