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Finding the Fourth Proportional to 290.05, 400.26 and 164

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Solution

The fourth proportional to 290.05, 400.26 and 164 is: 226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.05 : 400.26 = 164 : x
  2. Step 2: Convert to fraction form
    290.05/400.26 = 164/x
  3. Step 3: Cross multiply
    290.05x = 400.26 × 164
  4. Step 4: Simplify right side
    290.05x = 65,642.64
  5. Step 5: Solve for x
    x = 65,642.64/290.05
  6. Step 6: Final answer
    x = 226.31

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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.