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Finding the Fourth Proportional to 264.22, 364.38 and 181.18

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Solution

The fourth proportional to 264.22, 364.38 and 181.18 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.22 : 364.38 = 181.18 : x
  2. Step 2: Convert to fraction form
    264.22/364.38 = 181.18/x
  3. Step 3: Cross multiply
    264.22x = 364.38 × 181.18
  4. Step 4: Simplify right side
    264.22x = 66,018.37
  5. Step 5: Solve for x
    x = 66,018.37/264.22
  6. Step 6: Final answer
    x = 249.86

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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.