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Finding the Fourth Proportional to 357.24, 534.85 and 226.92

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Solution

The fourth proportional to 357.24, 534.85 and 226.92 is: 339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 534.85 = 226.92 : x
  2. Step 2: Convert to fraction form
    357.24/534.85 = 226.92/x
  3. Step 3: Cross multiply
    357.24x = 534.85 × 226.92
  4. Step 4: Simplify right side
    357.24x = 121,365.02
  5. Step 5: Solve for x
    x = 121,365.02/357.24
  6. Step 6: Final answer
    x = 339.73

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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.