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Finding the Fourth Proportional to 231.67, 347.52 and 109.93

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Solution

The fourth proportional to 231.67, 347.52 and 109.93 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.67 : 347.52 = 109.93 : x
  2. Step 2: Convert to fraction form
    231.67/347.52 = 109.93/x
  3. Step 3: Cross multiply
    231.67x = 347.52 × 109.93
  4. Step 4: Simplify right side
    231.67x = 38,202.87
  5. Step 5: Solve for x
    x = 38,202.87/231.67
  6. Step 6: Final answer
    x = 164.90

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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.