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Finding the Fourth Proportional to 205.34, 306.41 and 200.69

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Solution

The fourth proportional to 205.34, 306.41 and 200.69 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 306.41 = 200.69 : x
  2. Step 2: Convert to fraction form
    205.34/306.41 = 200.69/x
  3. Step 3: Cross multiply
    205.34x = 306.41 × 200.69
  4. Step 4: Simplify right side
    205.34x = 61,490.89
  5. Step 5: Solve for x
    x = 61,490.89/205.34
  6. Step 6: Final answer
    x = 299.46

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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.