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Finding the Fourth Proportional to 204.86, 307.08 and 164.36

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Solution

The fourth proportional to 204.86, 307.08 and 164.36 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.86 : 307.08 = 164.36 : x
  2. Step 2: Convert to fraction form
    204.86/307.08 = 164.36/x
  3. Step 3: Cross multiply
    204.86x = 307.08 × 164.36
  4. Step 4: Simplify right side
    204.86x = 50,471.67
  5. Step 5: Solve for x
    x = 50,471.67/204.86
  6. Step 6: Final answer
    x = 246.37

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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.