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Finding the Fourth Proportional to 230.06, 344.60 and 143.12

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Solution

The fourth proportional to 230.06, 344.60 and 143.12 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 344.60 = 143.12 : x
  2. Step 2: Convert to fraction form
    230.06/344.60 = 143.12/x
  3. Step 3: Cross multiply
    230.06x = 344.60 × 143.12
  4. Step 4: Simplify right side
    230.06x = 49,319.15
  5. Step 5: Solve for x
    x = 49,319.15/230.06
  6. Step 6: Final answer
    x = 214.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.