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Finding the Fourth Proportional to 561.43, 842.13 and 150.55

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Solution

The fourth proportional to 561.43, 842.13 and 150.55 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.43 : 842.13 = 150.55 : x
  2. Step 2: Convert to fraction form
    561.43/842.13 = 150.55/x
  3. Step 3: Cross multiply
    561.43x = 842.13 × 150.55
  4. Step 4: Simplify right side
    561.43x = 126,782.67
  5. Step 5: Solve for x
    x = 126,782.67/561.43
  6. Step 6: Final answer
    x = 225.82

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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.