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Finding the Fourth Proportional to 213.23, 319.44 and 115.59

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Solution

The fourth proportional to 213.23, 319.44 and 115.59 is: 173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 319.44 = 115.59 : x
  2. Step 2: Convert to fraction form
    213.23/319.44 = 115.59/x
  3. Step 3: Cross multiply
    213.23x = 319.44 × 115.59
  4. Step 4: Simplify right side
    213.23x = 36,925.70
  5. Step 5: Solve for x
    x = 36,925.70/213.23
  6. Step 6: Final answer
    x = 173.17

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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.