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Finding the Fourth Proportional to 291.36, 401.97 and 191.76

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Solution

The fourth proportional to 291.36, 401.97 and 191.76 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.36 : 401.97 = 191.76 : x
  2. Step 2: Convert to fraction form
    291.36/401.97 = 191.76/x
  3. Step 3: Cross multiply
    291.36x = 401.97 × 191.76
  4. Step 4: Simplify right side
    291.36x = 77,081.77
  5. Step 5: Solve for x
    x = 77,081.77/291.36
  6. Step 6: Final answer
    x = 264.56

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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.