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Finding the Fourth Proportional to 470.21, 705.08 and 196.22

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Solution

The fourth proportional to 470.21, 705.08 and 196.22 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.21 : 705.08 = 196.22 : x
  2. Step 2: Convert to fraction form
    470.21/705.08 = 196.22/x
  3. Step 3: Cross multiply
    470.21x = 705.08 × 196.22
  4. Step 4: Simplify right side
    470.21x = 138,346.29
  5. Step 5: Solve for x
    x = 138,346.29/470.21
  6. Step 6: Final answer
    x = 294.23

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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.