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Finding the Fourth Proportional to 213.24, 320.14 and 173

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Solution

The fourth proportional to 213.24, 320.14 and 173 is: 259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 320.14 = 173 : x
  2. Step 2: Convert to fraction form
    213.24/320.14 = 173/x
  3. Step 3: Cross multiply
    213.24x = 320.14 × 173
  4. Step 4: Simplify right side
    213.24x = 55,384.22
  5. Step 5: Solve for x
    x = 55,384.22/213.24
  6. Step 6: Final answer
    x = 259.73

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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.