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Finding the Fourth Proportional to 191.76, 264.16 and 164.22

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Solution

The fourth proportional to 191.76, 264.16 and 164.22 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 264.16 = 164.22 : x
  2. Step 2: Convert to fraction form
    191.76/264.16 = 164.22/x
  3. Step 3: Cross multiply
    191.76x = 264.16 × 164.22
  4. Step 4: Simplify right side
    191.76x = 43,380.36
  5. Step 5: Solve for x
    x = 43,380.36/191.76
  6. Step 6: Final answer
    x = 226.22

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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.