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Finding the Fourth Proportional to 236.16, 354.09 and 197.60

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Solution

The fourth proportional to 236.16, 354.09 and 197.60 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.16 : 354.09 = 197.60 : x
  2. Step 2: Convert to fraction form
    236.16/354.09 = 197.60/x
  3. Step 3: Cross multiply
    236.16x = 354.09 × 197.60
  4. Step 4: Simplify right side
    236.16x = 69,966.41
  5. Step 5: Solve for x
    x = 69,966.41/236.16
  6. Step 6: Final answer
    x = 296.27

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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.