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Finding the Fourth Proportional to 198.86, 274.19 and 152.08

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Solution

The fourth proportional to 198.86, 274.19 and 152.08 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 274.19 = 152.08 : x
  2. Step 2: Convert to fraction form
    198.86/274.19 = 152.08/x
  3. Step 3: Cross multiply
    198.86x = 274.19 × 152.08
  4. Step 4: Simplify right side
    198.86x = 41,697.37
  5. Step 5: Solve for x
    x = 41,697.37/198.86
  6. Step 6: Final answer
    x = 209.69

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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.