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Finding the Fourth Proportional to 269.69, 402.35 and 230.72

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Solution

The fourth proportional to 269.69, 402.35 and 230.72 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.69 : 402.35 = 230.72 : x
  2. Step 2: Convert to fraction form
    269.69/402.35 = 230.72/x
  3. Step 3: Cross multiply
    269.69x = 402.35 × 230.72
  4. Step 4: Simplify right side
    269.69x = 92,827.03
  5. Step 5: Solve for x
    x = 92,827.03/269.69
  6. Step 6: Final answer
    x = 344.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.