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Finding the Fourth Proportional to 364.57, 545.64 and 227.14

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Solution

The fourth proportional to 364.57, 545.64 and 227.14 is: 339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 545.64 = 227.14 : x
  2. Step 2: Convert to fraction form
    364.57/545.64 = 227.14/x
  3. Step 3: Cross multiply
    364.57x = 545.64 × 227.14
  4. Step 4: Simplify right side
    364.57x = 123,936.67
  5. Step 5: Solve for x
    x = 123,936.67/364.57
  6. Step 6: Final answer
    x = 339.95

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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.