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Finding the Fourth Proportional to 191.20, 286.40 and 164.08

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Solution

The fourth proportional to 191.20, 286.40 and 164.08 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.20 : 286.40 = 164.08 : x
  2. Step 2: Convert to fraction form
    191.20/286.40 = 164.08/x
  3. Step 3: Cross multiply
    191.20x = 286.40 × 164.08
  4. Step 4: Simplify right side
    191.20x = 46,992.51
  5. Step 5: Solve for x
    x = 46,992.51/191.20
  6. Step 6: Final answer
    x = 245.78

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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.