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Finding the Fourth Proportional to 231.57, 347.05 and 109.66

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Solution

The fourth proportional to 231.57, 347.05 and 109.66 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 347.05 = 109.66 : x
  2. Step 2: Convert to fraction form
    231.57/347.05 = 109.66/x
  3. Step 3: Cross multiply
    231.57x = 347.05 × 109.66
  4. Step 4: Simplify right side
    231.57x = 38,057.50
  5. Step 5: Solve for x
    x = 38,057.50/231.57
  6. Step 6: Final answer
    x = 164.35

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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.