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Finding the Fourth Proportional to 583.22, 874.82 and 150.37

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Solution

The fourth proportional to 583.22, 874.82 and 150.37 is: 225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 874.82 = 150.37 : x
  2. Step 2: Convert to fraction form
    583.22/874.82 = 150.37/x
  3. Step 3: Cross multiply
    583.22x = 874.82 × 150.37
  4. Step 4: Simplify right side
    583.22x = 131,544.87
  5. Step 5: Solve for x
    x = 131,544.87/583.22
  6. Step 6: Final answer
    x = 225.55

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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.