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Finding the Fourth Proportional to 295.27, 407.46 and 164.29

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Solution

The fourth proportional to 295.27, 407.46 and 164.29 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.27 : 407.46 = 164.29 : x
  2. Step 2: Convert to fraction form
    295.27/407.46 = 164.29/x
  3. Step 3: Cross multiply
    295.27x = 407.46 × 164.29
  4. Step 4: Simplify right side
    295.27x = 66,941.60
  5. Step 5: Solve for x
    x = 66,941.60/295.27
  6. Step 6: Final answer
    x = 226.71

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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.