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Finding the Fourth Proportional to 308.00, 461.64 and 154.03

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Solution

The fourth proportional to 308.00, 461.64 and 154.03 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.00 : 461.64 = 154.03 : x
  2. Step 2: Convert to fraction form
    308.00/461.64 = 154.03/x
  3. Step 3: Cross multiply
    308.00x = 461.64 × 154.03
  4. Step 4: Simplify right side
    308.00x = 71,105.26
  5. Step 5: Solve for x
    x = 71,105.26/308.00
  6. Step 6: Final answer
    x = 230.86

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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.