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Finding the Fourth Proportional to 302.82, 416.99 and 249.98

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Solution

The fourth proportional to 302.82, 416.99 and 249.98 is: 344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.82 : 416.99 = 249.98 : x
  2. Step 2: Convert to fraction form
    302.82/416.99 = 249.98/x
  3. Step 3: Cross multiply
    302.82x = 416.99 × 249.98
  4. Step 4: Simplify right side
    302.82x = 104,235.83
  5. Step 5: Solve for x
    x = 104,235.83/302.82
  6. Step 6: Final answer
    x = 344.22

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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.