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Finding the Fourth Proportional to 231.94, 347.73 and 110.02

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Solution

The fourth proportional to 231.94, 347.73 and 110.02 is: 164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.94 : 347.73 = 110.02 : x
  2. Step 2: Convert to fraction form
    231.94/347.73 = 110.02/x
  3. Step 3: Cross multiply
    231.94x = 347.73 × 110.02
  4. Step 4: Simplify right side
    231.94x = 38,257.25
  5. Step 5: Solve for x
    x = 38,257.25/231.94
  6. Step 6: Final answer
    x = 164.94

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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.