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Finding the Fourth Proportional to 230.32, 317.79 and 160.27

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Solution

The fourth proportional to 230.32, 317.79 and 160.27 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 317.79 = 160.27 : x
  2. Step 2: Convert to fraction form
    230.32/317.79 = 160.27/x
  3. Step 3: Cross multiply
    230.32x = 317.79 × 160.27
  4. Step 4: Simplify right side
    230.32x = 50,932.20
  5. Step 5: Solve for x
    x = 50,932.20/230.32
  6. Step 6: Final answer
    x = 221.14

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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.