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Finding the Fourth Proportional to 308.25, 462.64 and 164.07

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Solution

The fourth proportional to 308.25, 462.64 and 164.07 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 462.64 = 164.07 : x
  2. Step 2: Convert to fraction form
    308.25/462.64 = 164.07/x
  3. Step 3: Cross multiply
    308.25x = 462.64 × 164.07
  4. Step 4: Simplify right side
    308.25x = 75,905.34
  5. Step 5: Solve for x
    x = 75,905.34/308.25
  6. Step 6: Final answer
    x = 246.25

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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.