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Finding the Fourth Proportional to 561.68, 842.39 and 150.78

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Solution

The fourth proportional to 561.68, 842.39 and 150.78 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 842.39 = 150.78 : x
  2. Step 2: Convert to fraction form
    561.68/842.39 = 150.78/x
  3. Step 3: Cross multiply
    561.68x = 842.39 × 150.78
  4. Step 4: Simplify right side
    561.68x = 127,015.56
  5. Step 5: Solve for x
    x = 127,015.56/561.68
  6. Step 6: Final answer
    x = 226.14

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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.