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Finding the Fourth Proportional to 231.25, 346.91 and 77.17

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Solution

The fourth proportional to 231.25, 346.91 and 77.17 is: 115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.25 : 346.91 = 77.17 : x
  2. Step 2: Convert to fraction form
    231.25/346.91 = 77.17/x
  3. Step 3: Cross multiply
    231.25x = 346.91 × 77.17
  4. Step 4: Simplify right side
    231.25x = 26,771.04
  5. Step 5: Solve for x
    x = 26,771.04/231.25
  6. Step 6: Final answer
    x = 115.77

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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.