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Finding the Fourth Proportional to 295.82, 408.26 and 164.84

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Solution

The fourth proportional to 295.82, 408.26 and 164.84 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 408.26 = 164.84 : x
  2. Step 2: Convert to fraction form
    295.82/408.26 = 164.84/x
  3. Step 3: Cross multiply
    295.82x = 408.26 × 164.84
  4. Step 4: Simplify right side
    295.82x = 67,297.58
  5. Step 5: Solve for x
    x = 67,297.58/295.82
  6. Step 6: Final answer
    x = 227.50

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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.