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Finding the Fourth Proportional to 226.80, 342 and 201.60

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Solution

The fourth proportional to 226.80, 342 and 201.60 is: 304

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.80 : 342 = 201.60 : x
  2. Step 2: Convert to fraction form
    226.80/342 = 201.60/x
  3. Step 3: Cross multiply
    226.80x = 342 × 201.60
  4. Step 4: Simplify right side
    226.80x = 68,947.20
  5. Step 5: Solve for x
    x = 68,947.20/226.80
  6. Step 6: Final answer
    x = 304

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.