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Finding the Fourth Proportional to 225.61, 338.19 and 194.64

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Solution

The fourth proportional to 225.61, 338.19 and 194.64 is: 291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.61 : 338.19 = 194.64 : x
  2. Step 2: Convert to fraction form
    225.61/338.19 = 194.64/x
  3. Step 3: Cross multiply
    225.61x = 338.19 × 194.64
  4. Step 4: Simplify right side
    225.61x = 65,823.61
  5. Step 5: Solve for x
    x = 65,823.61/225.61
  6. Step 6: Final answer
    x = 291.76

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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.