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Finding the Fourth Proportional to 251.21, 346.58 and 198.76

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Solution

The fourth proportional to 251.21, 346.58 and 198.76 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.21 : 346.58 = 198.76 : x
  2. Step 2: Convert to fraction form
    251.21/346.58 = 198.76/x
  3. Step 3: Cross multiply
    251.21x = 346.58 × 198.76
  4. Step 4: Simplify right side
    251.21x = 68,886.43
  5. Step 5: Solve for x
    x = 68,886.43/251.21
  6. Step 6: Final answer
    x = 274.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.