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Finding the Fourth Proportional to 270.86, 406.05 and 230.54

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Solution

The fourth proportional to 270.86, 406.05 and 230.54 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.86 : 406.05 = 230.54 : x
  2. Step 2: Convert to fraction form
    270.86/406.05 = 230.54/x
  3. Step 3: Cross multiply
    270.86x = 406.05 × 230.54
  4. Step 4: Simplify right side
    270.86x = 93,610.77
  5. Step 5: Solve for x
    x = 93,610.77/270.86
  6. Step 6: Final answer
    x = 345.61

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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.