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Finding the Fourth Proportional to 212.70, 319.17 and 116.50

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Solution

The fourth proportional to 212.70, 319.17 and 116.50 is: 174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 319.17 = 116.50 : x
  2. Step 2: Convert to fraction form
    212.70/319.17 = 116.50/x
  3. Step 3: Cross multiply
    212.70x = 319.17 × 116.50
  4. Step 4: Simplify right side
    212.70x = 37,183.31
  5. Step 5: Solve for x
    x = 37,183.31/212.70
  6. Step 6: Final answer
    x = 174.82

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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.