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Finding the Fourth Proportional to 230.29, 345.37 and 143.57

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Solution

The fourth proportional to 230.29, 345.37 and 143.57 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.29 : 345.37 = 143.57 : x
  2. Step 2: Convert to fraction form
    230.29/345.37 = 143.57/x
  3. Step 3: Cross multiply
    230.29x = 345.37 × 143.57
  4. Step 4: Simplify right side
    230.29x = 49,586.31
  5. Step 5: Solve for x
    x = 49,586.31/230.29
  6. Step 6: Final answer
    x = 215.33

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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.