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Finding the Fourth Proportional to 266.02, 367.01 and 161.14

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Solution

The fourth proportional to 266.02, 367.01 and 161.14 is: 222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.02 : 367.01 = 161.14 : x
  2. Step 2: Convert to fraction form
    266.02/367.01 = 161.14/x
  3. Step 3: Cross multiply
    266.02x = 367.01 × 161.14
  4. Step 4: Simplify right side
    266.02x = 59,139.48
  5. Step 5: Solve for x
    x = 59,139.48/266.02
  6. Step 6: Final answer
    x = 222.31

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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.