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Finding the Fourth Proportional to 231.99, 348.05 and 77.91

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Solution

The fourth proportional to 231.99, 348.05 and 77.91 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.99 : 348.05 = 77.91 : x
  2. Step 2: Convert to fraction form
    231.99/348.05 = 77.91/x
  3. Step 3: Cross multiply
    231.99x = 348.05 × 77.91
  4. Step 4: Simplify right side
    231.99x = 27,116.19
  5. Step 5: Solve for x
    x = 27,116.19/231.99
  6. Step 6: Final answer
    x = 116.89

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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.