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Finding the Fourth Proportional to 225.88, 337.64 and 195.37

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Solution

The fourth proportional to 225.88, 337.64 and 195.37 is: 292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.88 : 337.64 = 195.37 : x
  2. Step 2: Convert to fraction form
    225.88/337.64 = 195.37/x
  3. Step 3: Cross multiply
    225.88x = 337.64 × 195.37
  4. Step 4: Simplify right side
    225.88x = 65,964.73
  5. Step 5: Solve for x
    x = 65,964.73/225.88
  6. Step 6: Final answer
    x = 292.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.