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Finding the Fourth Proportional to 208.96, 288.10 and 164.62

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Solution

The fourth proportional to 208.96, 288.10 and 164.62 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 288.10 = 164.62 : x
  2. Step 2: Convert to fraction form
    208.96/288.10 = 164.62/x
  3. Step 3: Cross multiply
    208.96x = 288.10 × 164.62
  4. Step 4: Simplify right side
    208.96x = 47,427.02
  5. Step 5: Solve for x
    x = 47,427.02/208.96
  6. Step 6: Final answer
    x = 226.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.