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Finding the Fourth Proportional to 236.63, 354.33 and 197.90

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Solution

The fourth proportional to 236.63, 354.33 and 197.90 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.63 : 354.33 = 197.90 : x
  2. Step 2: Convert to fraction form
    236.63/354.33 = 197.90/x
  3. Step 3: Cross multiply
    236.63x = 354.33 × 197.90
  4. Step 4: Simplify right side
    236.63x = 70,122.79
  5. Step 5: Solve for x
    x = 70,122.79/236.63
  6. Step 6: Final answer
    x = 296.34

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