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Finding the Fourth Proportional to 225.84, 338.20 and 191.40

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Solution

The fourth proportional to 225.84, 338.20 and 191.40 is: 286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.20 = 191.40 : x
  2. Step 2: Convert to fraction form
    225.84/338.20 = 191.40/x
  3. Step 3: Cross multiply
    225.84x = 338.20 × 191.40
  4. Step 4: Simplify right side
    225.84x = 64,731.48
  5. Step 5: Solve for x
    x = 64,731.48/225.84
  6. Step 6: Final answer
    x = 286.63

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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.