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Finding the Fourth Proportional to 194.16, 290.40 and 142.56

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Solution

The fourth proportional to 194.16, 290.40 and 142.56 is: 213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 290.40 = 142.56 : x
  2. Step 2: Convert to fraction form
    194.16/290.40 = 142.56/x
  3. Step 3: Cross multiply
    194.16x = 290.40 × 142.56
  4. Step 4: Simplify right side
    194.16x = 41,399.42
  5. Step 5: Solve for x
    x = 41,399.42/194.16
  6. Step 6: Final answer
    x = 213.22

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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.