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Finding the Fourth Proportional to 264.91, 365.61 and 181.99

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Solution

The fourth proportional to 264.91, 365.61 and 181.99 is: 251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.91 : 365.61 = 181.99 : x
  2. Step 2: Convert to fraction form
    264.91/365.61 = 181.99/x
  3. Step 3: Cross multiply
    264.91x = 365.61 × 181.99
  4. Step 4: Simplify right side
    264.91x = 66,537.36
  5. Step 5: Solve for x
    x = 66,537.36/264.91
  6. Step 6: Final answer
    x = 251.17

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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.