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Finding the Fourth Proportional to 225.20, 310.20 and 173.36

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Solution

The fourth proportional to 225.20, 310.20 and 173.36 is: 238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.20 : 310.20 = 173.36 : x
  2. Step 2: Convert to fraction form
    225.20/310.20 = 173.36/x
  3. Step 3: Cross multiply
    225.20x = 310.20 × 173.36
  4. Step 4: Simplify right side
    225.20x = 53,776.27
  5. Step 5: Solve for x
    x = 53,776.27/225.20
  6. Step 6: Final answer
    x = 238.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.