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Finding the Fourth Proportional to 196.56, 294.57 and 135.81

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Solution

The fourth proportional to 196.56, 294.57 and 135.81 is: 203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 294.57 = 135.81 : x
  2. Step 2: Convert to fraction form
    196.56/294.57 = 135.81/x
  3. Step 3: Cross multiply
    196.56x = 294.57 × 135.81
  4. Step 4: Simplify right side
    196.56x = 40,005.55
  5. Step 5: Solve for x
    x = 40,005.55/196.56
  6. Step 6: Final answer
    x = 203.53

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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.