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Finding the Fourth Proportional to 561.46, 842.10 and 196.06

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Solution

The fourth proportional to 561.46, 842.10 and 196.06 is: 294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.46 : 842.10 = 196.06 : x
  2. Step 2: Convert to fraction form
    561.46/842.10 = 196.06/x
  3. Step 3: Cross multiply
    561.46x = 842.10 × 196.06
  4. Step 4: Simplify right side
    561.46x = 165,102.13
  5. Step 5: Solve for x
    x = 165,102.13/561.46
  6. Step 6: Final answer
    x = 294.06

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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.