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Finding the Fourth Proportional to 287.35, 396.70 and 200.07

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Solution

The fourth proportional to 287.35, 396.70 and 200.07 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.35 : 396.70 = 200.07 : x
  2. Step 2: Convert to fraction form
    287.35/396.70 = 200.07/x
  3. Step 3: Cross multiply
    287.35x = 396.70 × 200.07
  4. Step 4: Simplify right side
    287.35x = 79,367.27
  5. Step 5: Solve for x
    x = 79,367.27/287.35
  6. Step 6: Final answer
    x = 276.21

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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.