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Finding the Fourth Proportional to 196.34, 294.38 and 135.18

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Solution

The fourth proportional to 196.34, 294.38 and 135.18 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.38 = 135.18 : x
  2. Step 2: Convert to fraction form
    196.34/294.38 = 135.18/x
  3. Step 3: Cross multiply
    196.34x = 294.38 × 135.18
  4. Step 4: Simplify right side
    196.34x = 39,794.29
  5. Step 5: Solve for x
    x = 39,794.29/196.34
  6. Step 6: Final answer
    x = 202.68

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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.