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Finding the Fourth Proportional to 163.84, 246.86 and 162.40

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Solution

The fourth proportional to 163.84, 246.86 and 162.40 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.84 : 246.86 = 162.40 : x
  2. Step 2: Convert to fraction form
    163.84/246.86 = 162.40/x
  3. Step 3: Cross multiply
    163.84x = 246.86 × 162.40
  4. Step 4: Simplify right side
    163.84x = 40,090.06
  5. Step 5: Solve for x
    x = 40,090.06/163.84
  6. Step 6: Final answer
    x = 244.69

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Why These Related Problems?

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