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Finding the Fourth Proportional to 230.84, 346.05 and 109.24

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Solution

The fourth proportional to 230.84, 346.05 and 109.24 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 346.05 = 109.24 : x
  2. Step 2: Convert to fraction form
    230.84/346.05 = 109.24/x
  3. Step 3: Cross multiply
    230.84x = 346.05 × 109.24
  4. Step 4: Simplify right side
    230.84x = 37,802.50
  5. Step 5: Solve for x
    x = 37,802.50/230.84
  6. Step 6: Final answer
    x = 163.76

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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.