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Finding the Fourth Proportional to 210.43, 316.07 and 161.90

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Solution

The fourth proportional to 210.43, 316.07 and 161.90 is: 243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.43 : 316.07 = 161.90 : x
  2. Step 2: Convert to fraction form
    210.43/316.07 = 161.90/x
  3. Step 3: Cross multiply
    210.43x = 316.07 × 161.90
  4. Step 4: Simplify right side
    210.43x = 51,171.73
  5. Step 5: Solve for x
    x = 51,171.73/210.43
  6. Step 6: Final answer
    x = 243.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.