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Finding the Fourth Proportional to 225.12, 310.54 and 169.88

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Solution

The fourth proportional to 225.12, 310.54 and 169.88 is: 234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.12 : 310.54 = 169.88 : x
  2. Step 2: Convert to fraction form
    225.12/310.54 = 169.88/x
  3. Step 3: Cross multiply
    225.12x = 310.54 × 169.88
  4. Step 4: Simplify right side
    225.12x = 52,754.54
  5. Step 5: Solve for x
    x = 52,754.54/225.12
  6. Step 6: Final answer
    x = 234.34

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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.