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Finding the Fourth Proportional to 191.57, 286.64 and 185.63

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Solution

The fourth proportional to 191.57, 286.64 and 185.63 is: 277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 286.64 = 185.63 : x
  2. Step 2: Convert to fraction form
    191.57/286.64 = 185.63/x
  3. Step 3: Cross multiply
    191.57x = 286.64 × 185.63
  4. Step 4: Simplify right side
    191.57x = 53,207.32
  5. Step 5: Solve for x
    x = 53,207.32/191.57
  6. Step 6: Final answer
    x = 277.75

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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.