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Finding the Fourth Proportional to 269.51, 403.83 and 200.68

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Solution

The fourth proportional to 269.51, 403.83 and 200.68 is: 300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.51 : 403.83 = 200.68 : x
  2. Step 2: Convert to fraction form
    269.51/403.83 = 200.68/x
  3. Step 3: Cross multiply
    269.51x = 403.83 × 200.68
  4. Step 4: Simplify right side
    269.51x = 81,040.60
  5. Step 5: Solve for x
    x = 81,040.60/269.51
  6. Step 6: Final answer
    x = 300.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.