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Finding the Fourth Proportional to 247.35, 370.65 and 198.42

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Solution

The fourth proportional to 247.35, 370.65 and 198.42 is: 297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.35 : 370.65 = 198.42 : x
  2. Step 2: Convert to fraction form
    247.35/370.65 = 198.42/x
  3. Step 3: Cross multiply
    247.35x = 370.65 × 198.42
  4. Step 4: Simplify right side
    247.35x = 73,544.37
  5. Step 5: Solve for x
    x = 73,544.37/247.35
  6. Step 6: Final answer
    x = 297.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.