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Finding the Fourth Proportional to 266.29, 366.90 and 178.81

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Solution

The fourth proportional to 266.29, 366.90 and 178.81 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 366.90 = 178.81 : x
  2. Step 2: Convert to fraction form
    266.29/366.90 = 178.81/x
  3. Step 3: Cross multiply
    266.29x = 366.90 × 178.81
  4. Step 4: Simplify right side
    266.29x = 65,604.49
  5. Step 5: Solve for x
    x = 65,604.49/266.29
  6. Step 6: Final answer
    x = 246.36

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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.