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Finding the Fourth Proportional to 198.82, 274.12 and 152.06

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Solution

The fourth proportional to 198.82, 274.12 and 152.06 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 274.12 = 152.06 : x
  2. Step 2: Convert to fraction form
    198.82/274.12 = 152.06/x
  3. Step 3: Cross multiply
    198.82x = 274.12 × 152.06
  4. Step 4: Simplify right side
    198.82x = 41,682.69
  5. Step 5: Solve for x
    x = 41,682.69/198.82
  6. Step 6: Final answer
    x = 209.65

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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.