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Finding the Fourth Proportional to 163.86, 244.53 and 146.57

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Solution

The fourth proportional to 163.86, 244.53 and 146.57 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.86 : 244.53 = 146.57 : x
  2. Step 2: Convert to fraction form
    163.86/244.53 = 146.57/x
  3. Step 3: Cross multiply
    163.86x = 244.53 × 146.57
  4. Step 4: Simplify right side
    163.86x = 35,839.54
  5. Step 5: Solve for x
    x = 35,839.54/163.86
  6. Step 6: Final answer
    x = 218.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.