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Finding the Fourth Proportional to 208.02, 287.01 and 164.22

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Solution

The fourth proportional to 208.02, 287.01 and 164.22 is: 226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 287.01 = 164.22 : x
  2. Step 2: Convert to fraction form
    208.02/287.01 = 164.22/x
  3. Step 3: Cross multiply
    208.02x = 287.01 × 164.22
  4. Step 4: Simplify right side
    208.02x = 47,132.78
  5. Step 5: Solve for x
    x = 47,132.78/208.02
  6. Step 6: Final answer
    x = 226.58

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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.