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Finding the Fourth Proportional to 230.50, 318.10 and 143.16

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Solution

The fourth proportional to 230.50, 318.10 and 143.16 is: 197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 318.10 = 143.16 : x
  2. Step 2: Convert to fraction form
    230.50/318.10 = 143.16/x
  3. Step 3: Cross multiply
    230.50x = 318.10 × 143.16
  4. Step 4: Simplify right side
    230.50x = 45,539.20
  5. Step 5: Solve for x
    x = 45,539.20/230.50
  6. Step 6: Final answer
    x = 197.57

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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.