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Finding the Fourth Proportional to 566.19, 849.41 and 196.03

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Solution

The fourth proportional to 566.19, 849.41 and 196.03 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 849.41 = 196.03 : x
  2. Step 2: Convert to fraction form
    566.19/849.41 = 196.03/x
  3. Step 3: Cross multiply
    566.19x = 849.41 × 196.03
  4. Step 4: Simplify right side
    566.19x = 166,509.84
  5. Step 5: Solve for x
    x = 166,509.84/566.19
  6. Step 6: Final answer
    x = 294.09

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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.