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Finding the Fourth Proportional to 295.64, 408.01 and 164.68

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Solution

The fourth proportional to 295.64, 408.01 and 164.68 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 408.01 = 164.68 : x
  2. Step 2: Convert to fraction form
    295.64/408.01 = 164.68/x
  3. Step 3: Cross multiply
    295.64x = 408.01 × 164.68
  4. Step 4: Simplify right side
    295.64x = 67,189.66
  5. Step 5: Solve for x
    x = 67,189.66/295.64
  6. Step 6: Final answer
    x = 227.27

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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.