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Finding the Fourth Proportional to 163.59, 246.36 and 138.07

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Solution

The fourth proportional to 163.59, 246.36 and 138.07 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.59 : 246.36 = 138.07 : x
  2. Step 2: Convert to fraction form
    163.59/246.36 = 138.07/x
  3. Step 3: Cross multiply
    163.59x = 246.36 × 138.07
  4. Step 4: Simplify right side
    163.59x = 34,014.23
  5. Step 5: Solve for x
    x = 34,014.23/163.59
  6. Step 6: Final answer
    x = 207.93

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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.