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Finding the Fourth Proportional to 364.11, 546.35 and 227.12

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Solution

The fourth proportional to 364.11, 546.35 and 227.12 is: 340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.11 : 546.35 = 227.12 : x
  2. Step 2: Convert to fraction form
    364.11/546.35 = 227.12/x
  3. Step 3: Cross multiply
    364.11x = 546.35 × 227.12
  4. Step 4: Simplify right side
    364.11x = 124,086.22
  5. Step 5: Solve for x
    x = 124,086.22/364.11
  6. Step 6: Final answer
    x = 340.79

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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.