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Finding the Fourth Proportional to 198.77, 274.19 and 146.45

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Solution

The fourth proportional to 198.77, 274.19 and 146.45 is: 202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 274.19 = 146.45 : x
  2. Step 2: Convert to fraction form
    198.77/274.19 = 146.45/x
  3. Step 3: Cross multiply
    198.77x = 274.19 × 146.45
  4. Step 4: Simplify right side
    198.77x = 40,156.18
  5. Step 5: Solve for x
    x = 40,156.18/198.77
  6. Step 6: Final answer
    x = 202.02

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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.