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Finding the Fourth Proportional to 210.86, 316.23 and 80.85

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Solution

The fourth proportional to 210.86, 316.23 and 80.85 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.86 : 316.23 = 80.85 : x
  2. Step 2: Convert to fraction form
    210.86/316.23 = 80.85/x
  3. Step 3: Cross multiply
    210.86x = 316.23 × 80.85
  4. Step 4: Simplify right side
    210.86x = 25,566.45
  5. Step 5: Solve for x
    x = 25,566.45/210.86
  6. Step 6: Final answer
    x = 121.25

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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.