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Finding the Fourth Proportional to 210.97, 316.68 and 119.85

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Solution

The fourth proportional to 210.97, 316.68 and 119.85 is: 179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 316.68 = 119.85 : x
  2. Step 2: Convert to fraction form
    210.97/316.68 = 119.85/x
  3. Step 3: Cross multiply
    210.97x = 316.68 × 119.85
  4. Step 4: Simplify right side
    210.97x = 37,952.51
  5. Step 5: Solve for x
    x = 37,952.51/210.97
  6. Step 6: Final answer
    x = 179.90

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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.