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Finding the Fourth Proportional to 225.71, 338.43 and 79.40

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Solution

The fourth proportional to 225.71, 338.43 and 79.40 is: 119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.71 : 338.43 = 79.40 : x
  2. Step 2: Convert to fraction form
    225.71/338.43 = 79.40/x
  3. Step 3: Cross multiply
    225.71x = 338.43 × 79.40
  4. Step 4: Simplify right side
    225.71x = 26,869.65
  5. Step 5: Solve for x
    x = 26,869.65/225.71
  6. Step 6: Final answer
    x = 119.05

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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.