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Finding the Fourth Proportional to 231.64, 347.47 and 109.85

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Solution

The fourth proportional to 231.64, 347.47 and 109.85 is: 164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 347.47 = 109.85 : x
  2. Step 2: Convert to fraction form
    231.64/347.47 = 109.85/x
  3. Step 3: Cross multiply
    231.64x = 347.47 × 109.85
  4. Step 4: Simplify right side
    231.64x = 38,167.57
  5. Step 5: Solve for x
    x = 38,167.57/231.64
  6. Step 6: Final answer
    x = 164.77

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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.