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Finding the Fourth Proportional to 227.68, 340.04 and 203.20

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Solution

The fourth proportional to 227.68, 340.04 and 203.20 is: 303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 340.04 = 203.20 : x
  2. Step 2: Convert to fraction form
    227.68/340.04 = 203.20/x
  3. Step 3: Cross multiply
    227.68x = 340.04 × 203.20
  4. Step 4: Simplify right side
    227.68x = 69,096.13
  5. Step 5: Solve for x
    x = 69,096.13/227.68
  6. Step 6: Final answer
    x = 303.48

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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.