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Finding the Fourth Proportional to 290.09, 400.37 and 185.23

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Solution

The fourth proportional to 290.09, 400.37 and 185.23 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.09 : 400.37 = 185.23 : x
  2. Step 2: Convert to fraction form
    290.09/400.37 = 185.23/x
  3. Step 3: Cross multiply
    290.09x = 400.37 × 185.23
  4. Step 4: Simplify right side
    290.09x = 74,158.53
  5. Step 5: Solve for x
    x = 74,158.53/290.09
  6. Step 6: Final answer
    x = 255.64

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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.