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Finding the Fourth Proportional to 308.66, 462.86 and 103.12

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Solution

The fourth proportional to 308.66, 462.86 and 103.12 is: 154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 462.86 = 103.12 : x
  2. Step 2: Convert to fraction form
    308.66/462.86 = 103.12/x
  3. Step 3: Cross multiply
    308.66x = 462.86 × 103.12
  4. Step 4: Simplify right side
    308.66x = 47,732.02
  5. Step 5: Solve for x
    x = 47,732.02/308.66
  6. Step 6: Final answer
    x = 154.64

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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.