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Finding the Fourth Proportional to 191.68, 264.36 and 164.02

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Solution

The fourth proportional to 191.68, 264.36 and 164.02 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.68 : 264.36 = 164.02 : x
  2. Step 2: Convert to fraction form
    191.68/264.36 = 164.02/x
  3. Step 3: Cross multiply
    191.68x = 264.36 × 164.02
  4. Step 4: Simplify right side
    191.68x = 43,360.33
  5. Step 5: Solve for x
    x = 43,360.33/191.68
  6. Step 6: Final answer
    x = 226.21

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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.