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Finding the Fourth Proportional to 266.81, 367.84 and 178.30

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Solution

The fourth proportional to 266.81, 367.84 and 178.30 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 367.84 = 178.30 : x
  2. Step 2: Convert to fraction form
    266.81/367.84 = 178.30/x
  3. Step 3: Cross multiply
    266.81x = 367.84 × 178.30
  4. Step 4: Simplify right side
    266.81x = 65,584.51
  5. Step 5: Solve for x
    x = 65,584.51/266.81
  6. Step 6: Final answer
    x = 245.81

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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.