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Finding the Fourth Proportional to 225.22, 310.75 and 142.30

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Solution

The fourth proportional to 225.22, 310.75 and 142.30 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.22 : 310.75 = 142.30 : x
  2. Step 2: Convert to fraction form
    225.22/310.75 = 142.30/x
  3. Step 3: Cross multiply
    225.22x = 310.75 × 142.30
  4. Step 4: Simplify right side
    225.22x = 44,219.73
  5. Step 5: Solve for x
    x = 44,219.73/225.22
  6. Step 6: Final answer
    x = 196.34

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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.