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Finding the Fourth Proportional to 316.68, 474.86 and 121.67

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Solution

The fourth proportional to 316.68, 474.86 and 121.67 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.68 : 474.86 = 121.67 : x
  2. Step 2: Convert to fraction form
    316.68/474.86 = 121.67/x
  3. Step 3: Cross multiply
    316.68x = 474.86 × 121.67
  4. Step 4: Simplify right side
    316.68x = 57,775.93
  5. Step 5: Solve for x
    x = 57,775.93/316.68
  6. Step 6: Final answer
    x = 182.44

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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.