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Finding the Fourth Proportional to 196.07, 293.90 and 135.11

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Solution

The fourth proportional to 196.07, 293.90 and 135.11 is: 202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 293.90 = 135.11 : x
  2. Step 2: Convert to fraction form
    196.07/293.90 = 135.11/x
  3. Step 3: Cross multiply
    196.07x = 293.90 × 135.11
  4. Step 4: Simplify right side
    196.07x = 39,709.90
  5. Step 5: Solve for x
    x = 39,709.90/196.07
  6. Step 6: Final answer
    x = 202.53

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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.