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Finding the Fourth Proportional to 194.07, 290.89 and 140.20

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Solution

The fourth proportional to 194.07, 290.89 and 140.20 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.07 : 290.89 = 140.20 : x
  2. Step 2: Convert to fraction form
    194.07/290.89 = 140.20/x
  3. Step 3: Cross multiply
    194.07x = 290.89 × 140.20
  4. Step 4: Simplify right side
    194.07x = 40,782.78
  5. Step 5: Solve for x
    x = 40,782.78/194.07
  6. Step 6: Final answer
    x = 210.14

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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.