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Finding the Fourth Proportional to 213.10, 319.70 and 116.89

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Solution

The fourth proportional to 213.10, 319.70 and 116.89 is: 175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 319.70 = 116.89 : x
  2. Step 2: Convert to fraction form
    213.10/319.70 = 116.89/x
  3. Step 3: Cross multiply
    213.10x = 319.70 × 116.89
  4. Step 4: Simplify right side
    213.10x = 37,369.73
  5. Step 5: Solve for x
    x = 37,369.73/213.10
  6. Step 6: Final answer
    x = 175.36

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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.