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Finding the Fourth Proportional to 198.80, 274.36 and 152.24

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Solution

The fourth proportional to 198.80, 274.36 and 152.24 is: 210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 274.36 = 152.24 : x
  2. Step 2: Convert to fraction form
    198.80/274.36 = 152.24/x
  3. Step 3: Cross multiply
    198.80x = 274.36 × 152.24
  4. Step 4: Simplify right side
    198.80x = 41,768.57
  5. Step 5: Solve for x
    x = 41,768.57/198.80
  6. Step 6: Final answer
    x = 210.10

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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.