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Finding the Fourth Proportional to 231.92, 347.70 and 110.06

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Solution

The fourth proportional to 231.92, 347.70 and 110.06 is: 165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.92 : 347.70 = 110.06 : x
  2. Step 2: Convert to fraction form
    231.92/347.70 = 110.06/x
  3. Step 3: Cross multiply
    231.92x = 347.70 × 110.06
  4. Step 4: Simplify right side
    231.92x = 38,267.86
  5. Step 5: Solve for x
    x = 38,267.86/231.92
  6. Step 6: Final answer
    x = 165.00

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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.