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Finding the Fourth Proportional to 230.86, 346.30 and 109.06

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Solution

The fourth proportional to 230.86, 346.30 and 109.06 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 346.30 = 109.06 : x
  2. Step 2: Convert to fraction form
    230.86/346.30 = 109.06/x
  3. Step 3: Cross multiply
    230.86x = 346.30 × 109.06
  4. Step 4: Simplify right side
    230.86x = 37,767.48
  5. Step 5: Solve for x
    x = 37,767.48/230.86
  6. Step 6: Final answer
    x = 163.59

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Why These Related Problems?

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