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Finding the Fourth Proportional to 308.63, 462.83 and 103.14

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Solution

The fourth proportional to 308.63, 462.83 and 103.14 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.63 : 462.83 = 103.14 : x
  2. Step 2: Convert to fraction form
    308.63/462.83 = 103.14/x
  3. Step 3: Cross multiply
    308.63x = 462.83 × 103.14
  4. Step 4: Simplify right side
    308.63x = 47,736.29
  5. Step 5: Solve for x
    x = 47,736.29/308.63
  6. Step 6: Final answer
    x = 154.67

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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.