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Finding the Fourth Proportional to 163.89, 246.94 and 135.63

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Solution

The fourth proportional to 163.89, 246.94 and 135.63 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 246.94 = 135.63 : x
  2. Step 2: Convert to fraction form
    163.89/246.94 = 135.63/x
  3. Step 3: Cross multiply
    163.89x = 246.94 × 135.63
  4. Step 4: Simplify right side
    163.89x = 33,492.47
  5. Step 5: Solve for x
    x = 33,492.47/163.89
  6. Step 6: Final answer
    x = 204.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.