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Finding the Fourth Proportional to 196.07, 293.50 and 141.02

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Solution

The fourth proportional to 196.07, 293.50 and 141.02 is: 211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 293.50 = 141.02 : x
  2. Step 2: Convert to fraction form
    196.07/293.50 = 141.02/x
  3. Step 3: Cross multiply
    196.07x = 293.50 × 141.02
  4. Step 4: Simplify right side
    196.07x = 41,387.96
  5. Step 5: Solve for x
    x = 41,387.96/196.07
  6. Step 6: Final answer
    x = 211.09

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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.