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Finding the Fourth Proportional to 227.71, 341.56 and 73.64

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Solution

The fourth proportional to 227.71, 341.56 and 73.64 is: 110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 341.56 = 73.64 : x
  2. Step 2: Convert to fraction form
    227.71/341.56 = 73.64/x
  3. Step 3: Cross multiply
    227.71x = 341.56 × 73.64
  4. Step 4: Simplify right side
    227.71x = 25,151.50
  5. Step 5: Solve for x
    x = 25,151.50/227.71
  6. Step 6: Final answer
    x = 110.45

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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.