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Finding the Fourth Proportional to 561.41, 842.19 and 150.56

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Solution

The fourth proportional to 561.41, 842.19 and 150.56 is: 225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.41 : 842.19 = 150.56 : x
  2. Step 2: Convert to fraction form
    561.41/842.19 = 150.56/x
  3. Step 3: Cross multiply
    561.41x = 842.19 × 150.56
  4. Step 4: Simplify right side
    561.41x = 126,800.13
  5. Step 5: Solve for x
    x = 126,800.13/561.41
  6. Step 6: Final answer
    x = 225.86

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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.