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Finding the Fourth Proportional to 198.72, 274.08 and 146.88

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Solution

The fourth proportional to 198.72, 274.08 and 146.88 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 274.08 = 146.88 : x
  2. Step 2: Convert to fraction form
    198.72/274.08 = 146.88/x
  3. Step 3: Cross multiply
    198.72x = 274.08 × 146.88
  4. Step 4: Simplify right side
    198.72x = 40,256.87
  5. Step 5: Solve for x
    x = 40,256.87/198.72
  6. Step 6: Final answer
    x = 202.58

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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.