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Finding the Fourth Proportional to 210.92, 316.23 and 185.28

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Solution

The fourth proportional to 210.92, 316.23 and 185.28 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 316.23 = 185.28 : x
  2. Step 2: Convert to fraction form
    210.92/316.23 = 185.28/x
  3. Step 3: Cross multiply
    210.92x = 316.23 × 185.28
  4. Step 4: Simplify right side
    210.92x = 58,591.09
  5. Step 5: Solve for x
    x = 58,591.09/210.92
  6. Step 6: Final answer
    x = 277.79

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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.