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Finding the Fourth Proportional to 213.23, 319.71 and 115.64

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Solution

The fourth proportional to 213.23, 319.71 and 115.64 is: 173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 319.71 = 115.64 : x
  2. Step 2: Convert to fraction form
    213.23/319.71 = 115.64/x
  3. Step 3: Cross multiply
    213.23x = 319.71 × 115.64
  4. Step 4: Simplify right side
    213.23x = 36,969.67
  5. Step 5: Solve for x
    x = 36,969.67/213.23
  6. Step 6: Final answer
    x = 173.38

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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.