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Finding the Fourth Proportional to 191.05, 262.93 and 182.85

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Solution

The fourth proportional to 191.05, 262.93 and 182.85 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.05 : 262.93 = 182.85 : x
  2. Step 2: Convert to fraction form
    191.05/262.93 = 182.85/x
  3. Step 3: Cross multiply
    191.05x = 262.93 × 182.85
  4. Step 4: Simplify right side
    191.05x = 48,076.95
  5. Step 5: Solve for x
    x = 48,076.95/191.05
  6. Step 6: Final answer
    x = 251.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.