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Finding the Fourth Proportional to 561.62, 842.33 and 150.80

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Solution

The fourth proportional to 561.62, 842.33 and 150.80 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 842.33 = 150.80 : x
  2. Step 2: Convert to fraction form
    561.62/842.33 = 150.80/x
  3. Step 3: Cross multiply
    561.62x = 842.33 × 150.80
  4. Step 4: Simplify right side
    561.62x = 127,023.36
  5. Step 5: Solve for x
    x = 127,023.36/561.62
  6. Step 6: Final answer
    x = 226.17

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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.