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Finding the Fourth Proportional to 470.96, 705.82 and 196.89

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Solution

The fourth proportional to 470.96, 705.82 and 196.89 is: 295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.96 : 705.82 = 196.89 : x
  2. Step 2: Convert to fraction form
    470.96/705.82 = 196.89/x
  3. Step 3: Cross multiply
    470.96x = 705.82 × 196.89
  4. Step 4: Simplify right side
    470.96x = 138,968.90
  5. Step 5: Solve for x
    x = 138,968.90/470.96
  6. Step 6: Final answer
    x = 295.08

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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.