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Finding the Fourth Proportional to 163.77, 244.72 and 142.93

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Solution

The fourth proportional to 163.77, 244.72 and 142.93 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 244.72 = 142.93 : x
  2. Step 2: Convert to fraction form
    163.77/244.72 = 142.93/x
  3. Step 3: Cross multiply
    163.77x = 244.72 × 142.93
  4. Step 4: Simplify right side
    163.77x = 34,977.28
  5. Step 5: Solve for x
    x = 34,977.28/163.77
  6. Step 6: Final answer
    x = 213.57

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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.