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Finding the Fourth Proportional to 191.46, 262.77 and 186.06

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Solution

The fourth proportional to 191.46, 262.77 and 186.06 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 262.77 = 186.06 : x
  2. Step 2: Convert to fraction form
    191.46/262.77 = 186.06/x
  3. Step 3: Cross multiply
    191.46x = 262.77 × 186.06
  4. Step 4: Simplify right side
    191.46x = 48,890.99
  5. Step 5: Solve for x
    x = 48,890.99/191.46
  6. Step 6: Final answer
    x = 255.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.