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Finding the Fourth Proportional to 210.82, 316.33 and 73.97

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Solution

The fourth proportional to 210.82, 316.33 and 73.97 is: 110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 316.33 = 73.97 : x
  2. Step 2: Convert to fraction form
    210.82/316.33 = 73.97/x
  3. Step 3: Cross multiply
    210.82x = 316.33 × 73.97
  4. Step 4: Simplify right side
    210.82x = 23,398.93
  5. Step 5: Solve for x
    x = 23,398.93/210.82
  6. Step 6: Final answer
    x = 110.99

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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.