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Finding the Fourth Proportional to 237.22, 357.83 and 224.77

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Solution

The fourth proportional to 237.22, 357.83 and 224.77 is: 339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.22 : 357.83 = 224.77 : x
  2. Step 2: Convert to fraction form
    237.22/357.83 = 224.77/x
  3. Step 3: Cross multiply
    237.22x = 357.83 × 224.77
  4. Step 4: Simplify right side
    237.22x = 80,426.54
  5. Step 5: Solve for x
    x = 80,426.54/237.22
  6. Step 6: Final answer
    x = 339.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.