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Finding the Fourth Proportional to 308.20, 461.84 and 164

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Solution

The fourth proportional to 308.20, 461.84 and 164 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.20 : 461.84 = 164 : x
  2. Step 2: Convert to fraction form
    308.20/461.84 = 164/x
  3. Step 3: Cross multiply
    308.20x = 461.84 × 164
  4. Step 4: Simplify right side
    308.20x = 75,741.76
  5. Step 5: Solve for x
    x = 75,741.76/308.20
  6. Step 6: Final answer
    x = 245.76

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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.