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Finding the Fourth Proportional to 225.33, 310.84 and 142.41

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Solution

The fourth proportional to 225.33, 310.84 and 142.41 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.33 : 310.84 = 142.41 : x
  2. Step 2: Convert to fraction form
    225.33/310.84 = 142.41/x
  3. Step 3: Cross multiply
    225.33x = 310.84 × 142.41
  4. Step 4: Simplify right side
    225.33x = 44,264.46
  5. Step 5: Solve for x
    x = 44,264.46/225.33
  6. Step 6: Final answer
    x = 196.44

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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.