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Finding the Fourth Proportional to 230.44, 318.14 and 177.88

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Solution

The fourth proportional to 230.44, 318.14 and 177.88 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.44 : 318.14 = 177.88 : x
  2. Step 2: Convert to fraction form
    230.44/318.14 = 177.88/x
  3. Step 3: Cross multiply
    230.44x = 318.14 × 177.88
  4. Step 4: Simplify right side
    230.44x = 56,589.23
  5. Step 5: Solve for x
    x = 56,589.23/230.44
  6. Step 6: Final answer
    x = 245.57

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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.