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Finding the Fourth Proportional to 291.14, 401.96 and 197.86

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Solution

The fourth proportional to 291.14, 401.96 and 197.86 is: 273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 401.96 = 197.86 : x
  2. Step 2: Convert to fraction form
    291.14/401.96 = 197.86/x
  3. Step 3: Cross multiply
    291.14x = 401.96 × 197.86
  4. Step 4: Simplify right side
    291.14x = 79,531.81
  5. Step 5: Solve for x
    x = 79,531.81/291.14
  6. Step 6: Final answer
    x = 273.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.