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Finding the Fourth Proportional to 236.48, 354 and 197.76

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Solution

The fourth proportional to 236.48, 354 and 197.76 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.48 : 354 = 197.76 : x
  2. Step 2: Convert to fraction form
    236.48/354 = 197.76/x
  3. Step 3: Cross multiply
    236.48x = 354 × 197.76
  4. Step 4: Simplify right side
    236.48x = 70,007.04
  5. Step 5: Solve for x
    x = 70,007.04/236.48
  6. Step 6: Final answer
    x = 296.04

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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.