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Finding the Fourth Proportional to 264.98, 365.49 and 161.30

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Solution

The fourth proportional to 264.98, 365.49 and 161.30 is: 222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 365.49 = 161.30 : x
  2. Step 2: Convert to fraction form
    264.98/365.49 = 161.30/x
  3. Step 3: Cross multiply
    264.98x = 365.49 × 161.30
  4. Step 4: Simplify right side
    264.98x = 58,953.54
  5. Step 5: Solve for x
    x = 58,953.54/264.98
  6. Step 6: Final answer
    x = 222.48

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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.