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Finding the Fourth Proportional to 193.44, 290.16 and 161.76

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Solution

The fourth proportional to 193.44, 290.16 and 161.76 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.44 : 290.16 = 161.76 : x
  2. Step 2: Convert to fraction form
    193.44/290.16 = 161.76/x
  3. Step 3: Cross multiply
    193.44x = 290.16 × 161.76
  4. Step 4: Simplify right side
    193.44x = 46,936.28
  5. Step 5: Solve for x
    x = 46,936.28/193.44
  6. Step 6: Final answer
    x = 242.64

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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.