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Finding the Fourth Proportional to 208.41, 287.22 and 167.10

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Solution

The fourth proportional to 208.41, 287.22 and 167.10 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 287.22 = 167.10 : x
  2. Step 2: Convert to fraction form
    208.41/287.22 = 167.10/x
  3. Step 3: Cross multiply
    208.41x = 287.22 × 167.10
  4. Step 4: Simplify right side
    208.41x = 47,994.46
  5. Step 5: Solve for x
    x = 47,994.46/208.41
  6. Step 6: Final answer
    x = 230.29

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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.