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Finding the Fourth Proportional to 236.42, 352.68 and 198.15

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Solution

The fourth proportional to 236.42, 352.68 and 198.15 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.42 : 352.68 = 198.15 : x
  2. Step 2: Convert to fraction form
    236.42/352.68 = 198.15/x
  3. Step 3: Cross multiply
    236.42x = 352.68 × 198.15
  4. Step 4: Simplify right side
    236.42x = 69,881.48
  5. Step 5: Solve for x
    x = 69,881.48/236.42
  6. Step 6: Final answer
    x = 295.58

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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.