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Finding the Fourth Proportional to 561.49, 841.61 and 196.09

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Solution

The fourth proportional to 561.49, 841.61 and 196.09 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.49 : 841.61 = 196.09 : x
  2. Step 2: Convert to fraction form
    561.49/841.61 = 196.09/x
  3. Step 3: Cross multiply
    561.49x = 841.61 × 196.09
  4. Step 4: Simplify right side
    561.49x = 165,029.69
  5. Step 5: Solve for x
    x = 165,029.69/561.49
  6. Step 6: Final answer
    x = 293.92

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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.