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Finding the Fourth Proportional to 236.64, 354.12 and 198.16

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Solution

The fourth proportional to 236.64, 354.12 and 198.16 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.64 : 354.12 = 198.16 : x
  2. Step 2: Convert to fraction form
    236.64/354.12 = 198.16/x
  3. Step 3: Cross multiply
    236.64x = 354.12 × 198.16
  4. Step 4: Simplify right side
    236.64x = 70,172.42
  5. Step 5: Solve for x
    x = 70,172.42/236.64
  6. Step 6: Final answer
    x = 296.54

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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.