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Finding the Fourth Proportional to 191.34, 286.95 and 164.22

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Solution

The fourth proportional to 191.34, 286.95 and 164.22 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.34 : 286.95 = 164.22 : x
  2. Step 2: Convert to fraction form
    191.34/286.95 = 164.22/x
  3. Step 3: Cross multiply
    191.34x = 286.95 × 164.22
  4. Step 4: Simplify right side
    191.34x = 47,122.93
  5. Step 5: Solve for x
    x = 47,122.93/191.34
  6. Step 6: Final answer
    x = 246.28

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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.