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Finding the Fourth Proportional to 210.73, 316.18 and 119.47

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Solution

The fourth proportional to 210.73, 316.18 and 119.47 is: 179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.73 : 316.18 = 119.47 : x
  2. Step 2: Convert to fraction form
    210.73/316.18 = 119.47/x
  3. Step 3: Cross multiply
    210.73x = 316.18 × 119.47
  4. Step 4: Simplify right side
    210.73x = 37,771.85
  5. Step 5: Solve for x
    x = 37,771.85/210.73
  6. Step 6: Final answer
    x = 179.25

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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.