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Finding the Fourth Proportional to 239.16, 357.24 and 198.12

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Solution

The fourth proportional to 239.16, 357.24 and 198.12 is: 295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 357.24 = 198.12 : x
  2. Step 2: Convert to fraction form
    239.16/357.24 = 198.12/x
  3. Step 3: Cross multiply
    239.16x = 357.24 × 198.12
  4. Step 4: Simplify right side
    239.16x = 70,776.39
  5. Step 5: Solve for x
    x = 70,776.39/239.16
  6. Step 6: Final answer
    x = 295.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.