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Finding the Fourth Proportional to 561.64, 842.24 and 196.36

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Solution

The fourth proportional to 561.64, 842.24 and 196.36 is: 294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.64 : 842.24 = 196.36 : x
  2. Step 2: Convert to fraction form
    561.64/842.24 = 196.36/x
  3. Step 3: Cross multiply
    561.64x = 842.24 × 196.36
  4. Step 4: Simplify right side
    561.64x = 165,382.25
  5. Step 5: Solve for x
    x = 165,382.25/561.64
  6. Step 6: Final answer
    x = 294.46

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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.