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Finding the Fourth Proportional to 364.13, 545.37 and 226.95

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Solution

The fourth proportional to 364.13, 545.37 and 226.95 is: 339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 545.37 = 226.95 : x
  2. Step 2: Convert to fraction form
    364.13/545.37 = 226.95/x
  3. Step 3: Cross multiply
    364.13x = 545.37 × 226.95
  4. Step 4: Simplify right side
    364.13x = 123,771.72
  5. Step 5: Solve for x
    x = 123,771.72/364.13
  6. Step 6: Final answer
    x = 339.91

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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.