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Finding the Fourth Proportional to 227.52, 341.36 and 112.10

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Solution

The fourth proportional to 227.52, 341.36 and 112.10 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 341.36 = 112.10 : x
  2. Step 2: Convert to fraction form
    227.52/341.36 = 112.10/x
  3. Step 3: Cross multiply
    227.52x = 341.36 × 112.10
  4. Step 4: Simplify right side
    227.52x = 38,266.46
  5. Step 5: Solve for x
    x = 38,266.46/227.52
  6. Step 6: Final answer
    x = 168.19

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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.