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Finding the Fourth Proportional to 308.30, 461.57 and 205.34

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Solution

The fourth proportional to 308.30, 461.57 and 205.34 is: 307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.30 : 461.57 = 205.34 : x
  2. Step 2: Convert to fraction form
    308.30/461.57 = 205.34/x
  3. Step 3: Cross multiply
    308.30x = 461.57 × 205.34
  4. Step 4: Simplify right side
    308.30x = 94,775.45
  5. Step 5: Solve for x
    x = 94,775.45/308.30
  6. Step 6: Final answer
    x = 307.42

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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.