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Finding the Fourth Proportional to 210.97, 316.53 and 102.73

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Solution

The fourth proportional to 210.97, 316.53 and 102.73 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 316.53 = 102.73 : x
  2. Step 2: Convert to fraction form
    210.97/316.53 = 102.73/x
  3. Step 3: Cross multiply
    210.97x = 316.53 × 102.73
  4. Step 4: Simplify right side
    210.97x = 32,517.13
  5. Step 5: Solve for x
    x = 32,517.13/210.97
  6. Step 6: Final answer
    x = 154.13

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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.