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Finding the Fourth Proportional to 193.50, 290.07 and 78.03

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Solution

The fourth proportional to 193.50, 290.07 and 78.03 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 290.07 = 78.03 : x
  2. Step 2: Convert to fraction form
    193.50/290.07 = 78.03/x
  3. Step 3: Cross multiply
    193.50x = 290.07 × 78.03
  4. Step 4: Simplify right side
    193.50x = 22,634.16
  5. Step 5: Solve for x
    x = 22,634.16/193.50
  6. Step 6: Final answer
    x = 116.97

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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.