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Finding the Fourth Proportional to 566.33, 849.11 and 196.04

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Solution

The fourth proportional to 566.33, 849.11 and 196.04 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 849.11 = 196.04 : x
  2. Step 2: Convert to fraction form
    566.33/849.11 = 196.04/x
  3. Step 3: Cross multiply
    566.33x = 849.11 × 196.04
  4. Step 4: Simplify right side
    566.33x = 166,454.30
  5. Step 5: Solve for x
    x = 166,454.30/566.33
  6. Step 6: Final answer
    x = 293.92

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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.