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Finding the Fourth Proportional to 212.52, 317.20 and 198.30

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Solution

The fourth proportional to 212.52, 317.20 and 198.30 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.52 : 317.20 = 198.30 : x
  2. Step 2: Convert to fraction form
    212.52/317.20 = 198.30/x
  3. Step 3: Cross multiply
    212.52x = 317.20 × 198.30
  4. Step 4: Simplify right side
    212.52x = 62,900.76
  5. Step 5: Solve for x
    x = 62,900.76/212.52
  6. Step 6: Final answer
    x = 295.98

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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.