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Finding the Fourth Proportional to 198.65, 274.28 and 152.27

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Solution

The fourth proportional to 198.65, 274.28 and 152.27 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.28 = 152.27 : x
  2. Step 2: Convert to fraction form
    198.65/274.28 = 152.27/x
  3. Step 3: Cross multiply
    198.65x = 274.28 × 152.27
  4. Step 4: Simplify right side
    198.65x = 41,764.62
  5. Step 5: Solve for x
    x = 41,764.62/198.65
  6. Step 6: Final answer
    x = 210.24

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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.