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Finding the Fourth Proportional to 191.64, 286.92 and 145.80

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Solution

The fourth proportional to 191.64, 286.92 and 145.80 is: 218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 286.92 = 145.80 : x
  2. Step 2: Convert to fraction form
    191.64/286.92 = 145.80/x
  3. Step 3: Cross multiply
    191.64x = 286.92 × 145.80
  4. Step 4: Simplify right side
    191.64x = 41,832.94
  5. Step 5: Solve for x
    x = 41,832.94/191.64
  6. Step 6: Final answer
    x = 218.29

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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.