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Finding the Fourth Proportional to 230.72, 318.53 and 143.44

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Solution

The fourth proportional to 230.72, 318.53 and 143.44 is: 198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 318.53 = 143.44 : x
  2. Step 2: Convert to fraction form
    230.72/318.53 = 143.44/x
  3. Step 3: Cross multiply
    230.72x = 318.53 × 143.44
  4. Step 4: Simplify right side
    230.72x = 45,689.51
  5. Step 5: Solve for x
    x = 45,689.51/230.72
  6. Step 6: Final answer
    x = 198.03

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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.