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Finding the Fourth Proportional to 470.22, 705.25 and 196.46

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Solution

The fourth proportional to 470.22, 705.25 and 196.46 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.22 : 705.25 = 196.46 : x
  2. Step 2: Convert to fraction form
    470.22/705.25 = 196.46/x
  3. Step 3: Cross multiply
    470.22x = 705.25 × 196.46
  4. Step 4: Simplify right side
    470.22x = 138,553.42
  5. Step 5: Solve for x
    x = 138,553.42/470.22
  6. Step 6: Final answer
    x = 294.66

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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.