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Finding the Fourth Proportional to 212.04, 316.37 and 192.56

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Solution

The fourth proportional to 212.04, 316.37 and 192.56 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 316.37 = 192.56 : x
  2. Step 2: Convert to fraction form
    212.04/316.37 = 192.56/x
  3. Step 3: Cross multiply
    212.04x = 316.37 × 192.56
  4. Step 4: Simplify right side
    212.04x = 60,917.66
  5. Step 5: Solve for x
    x = 60,917.66/212.04
  6. Step 6: Final answer
    x = 287.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.