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Finding the Fourth Proportional to 292.98, 404.02 and 199.75

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Solution

The fourth proportional to 292.98, 404.02 and 199.75 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.98 : 404.02 = 199.75 : x
  2. Step 2: Convert to fraction form
    292.98/404.02 = 199.75/x
  3. Step 3: Cross multiply
    292.98x = 404.02 × 199.75
  4. Step 4: Simplify right side
    292.98x = 80,702.99
  5. Step 5: Solve for x
    x = 80,702.99/292.98
  6. Step 6: Final answer
    x = 275.45

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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.