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Finding the Fourth Proportional to 308.06, 462.26 and 115.74

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Solution

The fourth proportional to 308.06, 462.26 and 115.74 is: 173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.06 : 462.26 = 115.74 : x
  2. Step 2: Convert to fraction form
    308.06/462.26 = 115.74/x
  3. Step 3: Cross multiply
    308.06x = 462.26 × 115.74
  4. Step 4: Simplify right side
    308.06x = 53,501.97
  5. Step 5: Solve for x
    x = 53,501.97/308.06
  6. Step 6: Final answer
    x = 173.67

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Why These Related Problems?

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