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Finding the Fourth Proportional to 308.45, 462.69 and 116.07

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Solution

The fourth proportional to 308.45, 462.69 and 116.07 is: 174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.45 : 462.69 = 116.07 : x
  2. Step 2: Convert to fraction form
    308.45/462.69 = 116.07/x
  3. Step 3: Cross multiply
    308.45x = 462.69 × 116.07
  4. Step 4: Simplify right side
    308.45x = 53,704.43
  5. Step 5: Solve for x
    x = 53,704.43/308.45
  6. Step 6: Final answer
    x = 174.11

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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.