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Finding the Fourth Proportional to 208.42, 287.73 and 164.07

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Solution

The fourth proportional to 208.42, 287.73 and 164.07 is: 226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 287.73 = 164.07 : x
  2. Step 2: Convert to fraction form
    208.42/287.73 = 164.07/x
  3. Step 3: Cross multiply
    208.42x = 287.73 × 164.07
  4. Step 4: Simplify right side
    208.42x = 47,207.86
  5. Step 5: Solve for x
    x = 47,207.86/208.42
  6. Step 6: Final answer
    x = 226.51

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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.