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Finding the Fourth Proportional to 307.89, 461.82 and 205.14

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Solution

The fourth proportional to 307.89, 461.82 and 205.14 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.89 : 461.82 = 205.14 : x
  2. Step 2: Convert to fraction form
    307.89/461.82 = 205.14/x
  3. Step 3: Cross multiply
    307.89x = 461.82 × 205.14
  4. Step 4: Simplify right side
    307.89x = 94,737.75
  5. Step 5: Solve for x
    x = 94,737.75/307.89
  6. Step 6: Final answer
    x = 307.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.