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Finding the Fourth Proportional to 266.51, 367.96 and 166.96

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Solution

The fourth proportional to 266.51, 367.96 and 166.96 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.51 : 367.96 = 166.96 : x
  2. Step 2: Convert to fraction form
    266.51/367.96 = 166.96/x
  3. Step 3: Cross multiply
    266.51x = 367.96 × 166.96
  4. Step 4: Simplify right side
    266.51x = 61,435.94
  5. Step 5: Solve for x
    x = 61,435.94/266.51
  6. Step 6: Final answer
    x = 230.52

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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.