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Finding the Fourth Proportional to 225.69, 338.23 and 102.21

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Solution

The fourth proportional to 225.69, 338.23 and 102.21 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.69 : 338.23 = 102.21 : x
  2. Step 2: Convert to fraction form
    225.69/338.23 = 102.21/x
  3. Step 3: Cross multiply
    225.69x = 338.23 × 102.21
  4. Step 4: Simplify right side
    225.69x = 34,570.68
  5. Step 5: Solve for x
    x = 34,570.68/225.69
  6. Step 6: Final answer
    x = 153.18

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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.