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Finding the Fourth Proportional to 292.93, 404.42 and 204.37

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Solution

The fourth proportional to 292.93, 404.42 and 204.37 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.93 : 404.42 = 204.37 : x
  2. Step 2: Convert to fraction form
    292.93/404.42 = 204.37/x
  3. Step 3: Cross multiply
    292.93x = 404.42 × 204.37
  4. Step 4: Simplify right side
    292.93x = 82,649.28
  5. Step 5: Solve for x
    x = 82,649.28/292.93
  6. Step 6: Final answer
    x = 282.15

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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.