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Finding the Fourth Proportional to 265.98, 367.01 and 161.07

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Solution

The fourth proportional to 265.98, 367.01 and 161.07 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 367.01 = 161.07 : x
  2. Step 2: Convert to fraction form
    265.98/367.01 = 161.07/x
  3. Step 3: Cross multiply
    265.98x = 367.01 × 161.07
  4. Step 4: Simplify right side
    265.98x = 59,112.72
  5. Step 5: Solve for x
    x = 59,112.72/265.98
  6. Step 6: Final answer
    x = 222.24

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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.