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Finding the Fourth Proportional to 566.34, 849.60 and 196.24

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Solution

The fourth proportional to 566.34, 849.60 and 196.24 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 849.60 = 196.24 : x
  2. Step 2: Convert to fraction form
    566.34/849.60 = 196.24/x
  3. Step 3: Cross multiply
    566.34x = 849.60 × 196.24
  4. Step 4: Simplify right side
    566.34x = 166,725.50
  5. Step 5: Solve for x
    x = 166,725.50/566.34
  6. Step 6: Final answer
    x = 294.39

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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.