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Finding the Fourth Proportional to 266.74, 367.86 and 167.08

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Solution

The fourth proportional to 266.74, 367.86 and 167.08 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.74 : 367.86 = 167.08 : x
  2. Step 2: Convert to fraction form
    266.74/367.86 = 167.08/x
  3. Step 3: Cross multiply
    266.74x = 367.86 × 167.08
  4. Step 4: Simplify right side
    266.74x = 61,462.05
  5. Step 5: Solve for x
    x = 61,462.05/266.74
  6. Step 6: Final answer
    x = 230.42

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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.