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Finding the Fourth Proportional to 269.36, 403.43 and 223.40

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Solution

The fourth proportional to 269.36, 403.43 and 223.40 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.36 : 403.43 = 223.40 : x
  2. Step 2: Convert to fraction form
    269.36/403.43 = 223.40/x
  3. Step 3: Cross multiply
    269.36x = 403.43 × 223.40
  4. Step 4: Simplify right side
    269.36x = 90,123.13
  5. Step 5: Solve for x
    x = 90,123.13/269.36
  6. Step 6: Final answer
    x = 334.59

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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.