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Finding the Fourth Proportional to 294.54, 406.53 and 196.34

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Solution

The fourth proportional to 294.54, 406.53 and 196.34 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.54 : 406.53 = 196.34 : x
  2. Step 2: Convert to fraction form
    294.54/406.53 = 196.34/x
  3. Step 3: Cross multiply
    294.54x = 406.53 × 196.34
  4. Step 4: Simplify right side
    294.54x = 79,816.07
  5. Step 5: Solve for x
    x = 79,816.07/294.54
  6. Step 6: Final answer
    x = 270.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.