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Finding the Fourth Proportional to 202.94, 304.49 and 111.63

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Solution

The fourth proportional to 202.94, 304.49 and 111.63 is: 167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.49 = 111.63 : x
  2. Step 2: Convert to fraction form
    202.94/304.49 = 111.63/x
  3. Step 3: Cross multiply
    202.94x = 304.49 × 111.63
  4. Step 4: Simplify right side
    202.94x = 33,989.93
  5. Step 5: Solve for x
    x = 33,989.93/202.94
  6. Step 6: Final answer
    x = 167.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.