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Finding the Fourth Proportional to 266.76, 367.65 and 179.46

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Solution

The fourth proportional to 266.76, 367.65 and 179.46 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 367.65 = 179.46 : x
  2. Step 2: Convert to fraction form
    266.76/367.65 = 179.46/x
  3. Step 3: Cross multiply
    266.76x = 367.65 × 179.46
  4. Step 4: Simplify right side
    266.76x = 65,978.47
  5. Step 5: Solve for x
    x = 65,978.47/266.76
  6. Step 6: Final answer
    x = 247.33

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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.