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Finding the Fourth Proportional to 266.64, 367.93 and 161.75

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Solution

The fourth proportional to 266.64, 367.93 and 161.75 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 367.93 = 161.75 : x
  2. Step 2: Convert to fraction form
    266.64/367.93 = 161.75/x
  3. Step 3: Cross multiply
    266.64x = 367.93 × 161.75
  4. Step 4: Simplify right side
    266.64x = 59,511.81
  5. Step 5: Solve for x
    x = 59,511.81/266.64
  6. Step 6: Final answer
    x = 223.19

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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.