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Finding the Fourth Proportional to 225.71, 338.30 and 102.29

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Solution

The fourth proportional to 225.71, 338.30 and 102.29 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.71 : 338.30 = 102.29 : x
  2. Step 2: Convert to fraction form
    225.71/338.30 = 102.29/x
  3. Step 3: Cross multiply
    225.71x = 338.30 × 102.29
  4. Step 4: Simplify right side
    225.71x = 34,603.27
  5. Step 5: Solve for x
    x = 34,603.27/225.71
  6. Step 6: Final answer
    x = 153.31

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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.