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Finding the Fourth Proportional to 206.49, 307.30 and 199.74

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Solution

The fourth proportional to 206.49, 307.30 and 199.74 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 307.30 = 199.74 : x
  2. Step 2: Convert to fraction form
    206.49/307.30 = 199.74/x
  3. Step 3: Cross multiply
    206.49x = 307.30 × 199.74
  4. Step 4: Simplify right side
    206.49x = 61,379.60
  5. Step 5: Solve for x
    x = 61,379.60/206.49
  6. Step 6: Final answer
    x = 297.25

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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.