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Finding the Fourth Proportional to 235.38, 353.36 and 225.60

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Solution

The fourth proportional to 235.38, 353.36 and 225.60 is: 338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 353.36 = 225.60 : x
  2. Step 2: Convert to fraction form
    235.38/353.36 = 225.60/x
  3. Step 3: Cross multiply
    235.38x = 353.36 × 225.60
  4. Step 4: Simplify right side
    235.38x = 79,718.02
  5. Step 5: Solve for x
    x = 79,718.02/235.38
  6. Step 6: Final answer
    x = 338.68

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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.