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Finding the Fourth Proportional to 231.14, 347.10 and 179.90

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Solution

The fourth proportional to 231.14, 347.10 and 179.90 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.14 : 347.10 = 179.90 : x
  2. Step 2: Convert to fraction form
    231.14/347.10 = 179.90/x
  3. Step 3: Cross multiply
    231.14x = 347.10 × 179.90
  4. Step 4: Simplify right side
    231.14x = 62,443.29
  5. Step 5: Solve for x
    x = 62,443.29/231.14
  6. Step 6: Final answer
    x = 270.15

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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.