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Finding the Fourth Proportional to 308.25, 462.47 and 134.84

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Solution

The fourth proportional to 308.25, 462.47 and 134.84 is: 202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.47 = 134.84 : x
  2. Step 2: Convert to fraction form
    308.25/462.47 = 134.84/x
  3. Step 3: Cross multiply
    308.25x = 462.47 × 134.84
  4. Step 4: Simplify right side
    308.25x = 62,359.94
  5. Step 5: Solve for x
    x = 62,359.94/308.25
  6. Step 6: Final answer
    x = 202.30

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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.