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Finding the Fourth Proportional to 231.69, 347.58 and 77.61

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Solution

The fourth proportional to 231.69, 347.58 and 77.61 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 347.58 = 77.61 : x
  2. Step 2: Convert to fraction form
    231.69/347.58 = 77.61/x
  3. Step 3: Cross multiply
    231.69x = 347.58 × 77.61
  4. Step 4: Simplify right side
    231.69x = 26,975.68
  5. Step 5: Solve for x
    x = 26,975.68/231.69
  6. Step 6: Final answer
    x = 116.43

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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.