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Finding the Fourth Proportional to 163.29, 246.78 and 160.45

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Solution

The fourth proportional to 163.29, 246.78 and 160.45 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.29 : 246.78 = 160.45 : x
  2. Step 2: Convert to fraction form
    163.29/246.78 = 160.45/x
  3. Step 3: Cross multiply
    163.29x = 246.78 × 160.45
  4. Step 4: Simplify right side
    163.29x = 39,596.87
  5. Step 5: Solve for x
    x = 39,596.87/163.29
  6. Step 6: Final answer
    x = 242.50

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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.