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Finding the Fourth Proportional to 295.03, 407.11 and 164.03

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Solution

The fourth proportional to 295.03, 407.11 and 164.03 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 407.11 = 164.03 : x
  2. Step 2: Convert to fraction form
    295.03/407.11 = 164.03/x
  3. Step 3: Cross multiply
    295.03x = 407.11 × 164.03
  4. Step 4: Simplify right side
    295.03x = 66,778.25
  5. Step 5: Solve for x
    x = 66,778.25/295.03
  6. Step 6: Final answer
    x = 226.34

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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.