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Finding the Fourth Proportional to 226.68, 312.57 and 171.06

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Solution

The fourth proportional to 226.68, 312.57 and 171.06 is: 235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.68 : 312.57 = 171.06 : x
  2. Step 2: Convert to fraction form
    226.68/312.57 = 171.06/x
  3. Step 3: Cross multiply
    226.68x = 312.57 × 171.06
  4. Step 4: Simplify right side
    226.68x = 53,468.22
  5. Step 5: Solve for x
    x = 53,468.22/226.68
  6. Step 6: Final answer
    x = 235.88

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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.