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Finding the Fourth Proportional to 205.70, 305.85 and 200.30

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Solution

The fourth proportional to 205.70, 305.85 and 200.30 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 305.85 = 200.30 : x
  2. Step 2: Convert to fraction form
    205.70/305.85 = 200.30/x
  3. Step 3: Cross multiply
    205.70x = 305.85 × 200.30
  4. Step 4: Simplify right side
    205.70x = 61,260.75
  5. Step 5: Solve for x
    x = 61,260.75/205.70
  6. Step 6: Final answer
    x = 297.82

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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.