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Finding the Fourth Proportional to 316.96, 475.57 and 111.67

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Solution

The fourth proportional to 316.96, 475.57 and 111.67 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.96 : 475.57 = 111.67 : x
  2. Step 2: Convert to fraction form
    316.96/475.57 = 111.67/x
  3. Step 3: Cross multiply
    316.96x = 475.57 × 111.67
  4. Step 4: Simplify right side
    316.96x = 53,106.90
  5. Step 5: Solve for x
    x = 53,106.90/316.96
  6. Step 6: Final answer
    x = 167.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.