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Finding the Fourth Proportional to 212.04, 316.46 and 198.36

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Solution

The fourth proportional to 212.04, 316.46 and 198.36 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 316.46 = 198.36 : x
  2. Step 2: Convert to fraction form
    212.04/316.46 = 198.36/x
  3. Step 3: Cross multiply
    212.04x = 316.46 × 198.36
  4. Step 4: Simplify right side
    212.04x = 62,773.01
  5. Step 5: Solve for x
    x = 62,773.01/212.04
  6. Step 6: Final answer
    x = 296.04

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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.