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Finding the Fourth Proportional to 212.52, 316.87 and 194.44

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Solution

The fourth proportional to 212.52, 316.87 and 194.44 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.52 : 316.87 = 194.44 : x
  2. Step 2: Convert to fraction form
    212.52/316.87 = 194.44/x
  3. Step 3: Cross multiply
    212.52x = 316.87 × 194.44
  4. Step 4: Simplify right side
    212.52x = 61,612.20
  5. Step 5: Solve for x
    x = 61,612.20/212.52
  6. Step 6: Final answer
    x = 289.91

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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.