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Finding the Fourth Proportional to 230.28, 317.88 and 171.96

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Solution

The fourth proportional to 230.28, 317.88 and 171.96 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 317.88 = 171.96 : x
  2. Step 2: Convert to fraction form
    230.28/317.88 = 171.96/x
  3. Step 3: Cross multiply
    230.28x = 317.88 × 171.96
  4. Step 4: Simplify right side
    230.28x = 54,662.64
  5. Step 5: Solve for x
    x = 54,662.64/230.28
  6. Step 6: Final answer
    x = 237.37

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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.