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Finding the Fourth Proportional to 307.34, 461.11 and 205.03

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Solution

The fourth proportional to 307.34, 461.11 and 205.03 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 461.11 = 205.03 : x
  2. Step 2: Convert to fraction form
    307.34/461.11 = 205.03/x
  3. Step 3: Cross multiply
    307.34x = 461.11 × 205.03
  4. Step 4: Simplify right side
    307.34x = 94,541.38
  5. Step 5: Solve for x
    x = 94,541.38/307.34
  6. Step 6: Final answer
    x = 307.61

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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.