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Finding the Fourth Proportional to 231.84, 347.97 and 159.75

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Solution

The fourth proportional to 231.84, 347.97 and 159.75 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.84 : 347.97 = 159.75 : x
  2. Step 2: Convert to fraction form
    231.84/347.97 = 159.75/x
  3. Step 3: Cross multiply
    231.84x = 347.97 × 159.75
  4. Step 4: Simplify right side
    231.84x = 55,588.21
  5. Step 5: Solve for x
    x = 55,588.21/231.84
  6. Step 6: Final answer
    x = 239.77

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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.