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Finding the Fourth Proportional to 290.69, 399.13 and 249.23

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Solution

The fourth proportional to 290.69, 399.13 and 249.23 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.69 : 399.13 = 249.23 : x
  2. Step 2: Convert to fraction form
    290.69/399.13 = 249.23/x
  3. Step 3: Cross multiply
    290.69x = 399.13 × 249.23
  4. Step 4: Simplify right side
    290.69x = 99,473.30
  5. Step 5: Solve for x
    x = 99,473.30/290.69
  6. Step 6: Final answer
    x = 342.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.