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Finding the Fourth Proportional to 300.66, 414.90 and 167.88

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Solution

The fourth proportional to 300.66, 414.90 and 167.88 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.66 : 414.90 = 167.88 : x
  2. Step 2: Convert to fraction form
    300.66/414.90 = 167.88/x
  3. Step 3: Cross multiply
    300.66x = 414.90 × 167.88
  4. Step 4: Simplify right side
    300.66x = 69,653.41
  5. Step 5: Solve for x
    x = 69,653.41/300.66
  6. Step 6: Final answer
    x = 231.67

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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.