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Finding the Fourth Proportional to 230.78, 346.24 and 109.14

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Solution

The fourth proportional to 230.78, 346.24 and 109.14 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.78 : 346.24 = 109.14 : x
  2. Step 2: Convert to fraction form
    230.78/346.24 = 109.14/x
  3. Step 3: Cross multiply
    230.78x = 346.24 × 109.14
  4. Step 4: Simplify right side
    230.78x = 37,788.63
  5. Step 5: Solve for x
    x = 37,788.63/230.78
  6. Step 6: Final answer
    x = 163.74

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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.