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Finding the Fourth Proportional to 230.95, 346.56 and 109.15

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Solution

The fourth proportional to 230.95, 346.56 and 109.15 is: 163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 346.56 = 109.15 : x
  2. Step 2: Convert to fraction form
    230.95/346.56 = 109.15/x
  3. Step 3: Cross multiply
    230.95x = 346.56 × 109.15
  4. Step 4: Simplify right side
    230.95x = 37,827.02
  5. Step 5: Solve for x
    x = 37,827.02/230.95
  6. Step 6: Final answer
    x = 163.79

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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.