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Finding the Fourth Proportional to 308.25, 462.51 and 145.94

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Solution

The fourth proportional to 308.25, 462.51 and 145.94 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.51 = 145.94 : x
  2. Step 2: Convert to fraction form
    308.25/462.51 = 145.94/x
  3. Step 3: Cross multiply
    308.25x = 462.51 × 145.94
  4. Step 4: Simplify right side
    308.25x = 67,496.40
  5. Step 5: Solve for x
    x = 67,496.40/308.25
  6. Step 6: Final answer
    x = 218.97

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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.