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Finding the Fourth Proportional to 196.46, 294.72 and 180.54

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Solution

The fourth proportional to 196.46, 294.72 and 180.54 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.46 : 294.72 = 180.54 : x
  2. Step 2: Convert to fraction form
    196.46/294.72 = 180.54/x
  3. Step 3: Cross multiply
    196.46x = 294.72 × 180.54
  4. Step 4: Simplify right side
    196.46x = 53,208.75
  5. Step 5: Solve for x
    x = 53,208.75/196.46
  6. Step 6: Final answer
    x = 270.84

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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.