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Finding the Fourth Proportional to 227.68, 341.12 and 207.36

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Solution

The fourth proportional to 227.68, 341.12 and 207.36 is: 310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 341.12 = 207.36 : x
  2. Step 2: Convert to fraction form
    227.68/341.12 = 207.36/x
  3. Step 3: Cross multiply
    227.68x = 341.12 × 207.36
  4. Step 4: Simplify right side
    227.68x = 70,734.64
  5. Step 5: Solve for x
    x = 70,734.64/227.68
  6. Step 6: Final answer
    x = 310.68

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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.