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Finding the Fourth Proportional to 193.46, 290.27 and 79.54

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Solution

The fourth proportional to 193.46, 290.27 and 79.54 is: 119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.46 : 290.27 = 79.54 : x
  2. Step 2: Convert to fraction form
    193.46/290.27 = 79.54/x
  3. Step 3: Cross multiply
    193.46x = 290.27 × 79.54
  4. Step 4: Simplify right side
    193.46x = 23,088.08
  5. Step 5: Solve for x
    x = 23,088.08/193.46
  6. Step 6: Final answer
    x = 119.34

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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.