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Finding the Fourth Proportional to 185.91, 277.47 and 181.05

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Solution

The fourth proportional to 185.91, 277.47 and 181.05 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.91 : 277.47 = 181.05 : x
  2. Step 2: Convert to fraction form
    185.91/277.47 = 181.05/x
  3. Step 3: Cross multiply
    185.91x = 277.47 × 181.05
  4. Step 4: Simplify right side
    185.91x = 50,235.94
  5. Step 5: Solve for x
    x = 50,235.94/185.91
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.