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Finding the Fourth Proportional to 206.06, 307.53 and 197.69

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Solution

The fourth proportional to 206.06, 307.53 and 197.69 is: 295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 307.53 = 197.69 : x
  2. Step 2: Convert to fraction form
    206.06/307.53 = 197.69/x
  3. Step 3: Cross multiply
    206.06x = 307.53 × 197.69
  4. Step 4: Simplify right side
    206.06x = 60,794.85
  5. Step 5: Solve for x
    x = 60,794.85/206.06
  6. Step 6: Final answer
    x = 295.03

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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.