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Finding the Fourth Proportional to 566.11, 849.03 and 195.87

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Solution

The fourth proportional to 566.11, 849.03 and 195.87 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.11 : 849.03 = 195.87 : x
  2. Step 2: Convert to fraction form
    566.11/849.03 = 195.87/x
  3. Step 3: Cross multiply
    566.11x = 849.03 × 195.87
  4. Step 4: Simplify right side
    566.11x = 166,299.51
  5. Step 5: Solve for x
    x = 166,299.51/566.11
  6. Step 6: Final answer
    x = 293.76

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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.