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Finding the Fourth Proportional to 266.46, 366.83 and 233.66

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Solution

The fourth proportional to 266.46, 366.83 and 233.66 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.46 : 366.83 = 233.66 : x
  2. Step 2: Convert to fraction form
    266.46/366.83 = 233.66/x
  3. Step 3: Cross multiply
    266.46x = 366.83 × 233.66
  4. Step 4: Simplify right side
    266.46x = 85,713.50
  5. Step 5: Solve for x
    x = 85,713.50/266.46
  6. Step 6: Final answer
    x = 321.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.