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Finding the Fourth Proportional to 266.82, 368.06 and 179.61

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Solution

The fourth proportional to 266.82, 368.06 and 179.61 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 368.06 = 179.61 : x
  2. Step 2: Convert to fraction form
    266.82/368.06 = 179.61/x
  3. Step 3: Cross multiply
    266.82x = 368.06 × 179.61
  4. Step 4: Simplify right side
    266.82x = 66,106.36
  5. Step 5: Solve for x
    x = 66,106.36/266.82
  6. Step 6: Final answer
    x = 247.76

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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.