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Finding the Fourth Proportional to 364.36, 547.20 and 227.67

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Solution

The fourth proportional to 364.36, 547.20 and 227.67 is: 341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.36 : 547.20 = 227.67 : x
  2. Step 2: Convert to fraction form
    364.36/547.20 = 227.67/x
  3. Step 3: Cross multiply
    364.36x = 547.20 × 227.67
  4. Step 4: Simplify right side
    364.36x = 124,583.08
  5. Step 5: Solve for x
    x = 124,583.08/364.36
  6. Step 6: Final answer
    x = 341.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.