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Finding the Fourth Proportional to 227.37, 339.29 and 202.80

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Solution

The fourth proportional to 227.37, 339.29 and 202.80 is: 302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.37 : 339.29 = 202.80 : x
  2. Step 2: Convert to fraction form
    227.37/339.29 = 202.80/x
  3. Step 3: Cross multiply
    227.37x = 339.29 × 202.80
  4. Step 4: Simplify right side
    227.37x = 68,807.02
  5. Step 5: Solve for x
    x = 68,807.02/227.37
  6. Step 6: Final answer
    x = 302.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.