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Finding the Fourth Proportional to 198.60, 274.15 and 189.89

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Solution

The fourth proportional to 198.60, 274.15 and 189.89 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.60 : 274.15 = 189.89 : x
  2. Step 2: Convert to fraction form
    198.60/274.15 = 189.89/x
  3. Step 3: Cross multiply
    198.60x = 274.15 × 189.89
  4. Step 4: Simplify right side
    198.60x = 52,058.34
  5. Step 5: Solve for x
    x = 52,058.34/198.60
  6. Step 6: Final answer
    x = 262.13

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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.