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Finding the Fourth Proportional to 225.58, 311.01 and 194.38

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Solution

The fourth proportional to 225.58, 311.01 and 194.38 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.58 : 311.01 = 194.38 : x
  2. Step 2: Convert to fraction form
    225.58/311.01 = 194.38/x
  3. Step 3: Cross multiply
    225.58x = 311.01 × 194.38
  4. Step 4: Simplify right side
    225.58x = 60,454.12
  5. Step 5: Solve for x
    x = 60,454.12/225.58
  6. Step 6: Final answer
    x = 267.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.