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Finding the Fourth Proportional to 191.07, 264.73 and 186.97

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Solution

The fourth proportional to 191.07, 264.73 and 186.97 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.07 : 264.73 = 186.97 : x
  2. Step 2: Convert to fraction form
    191.07/264.73 = 186.97/x
  3. Step 3: Cross multiply
    191.07x = 264.73 × 186.97
  4. Step 4: Simplify right side
    191.07x = 49,496.57
  5. Step 5: Solve for x
    x = 49,496.57/191.07
  6. Step 6: Final answer
    x = 259.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.