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Finding the Fourth Proportional to 307.58, 460.22 and 205.11

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Solution

The fourth proportional to 307.58, 460.22 and 205.11 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.58 : 460.22 = 205.11 : x
  2. Step 2: Convert to fraction form
    307.58/460.22 = 205.11/x
  3. Step 3: Cross multiply
    307.58x = 460.22 × 205.11
  4. Step 4: Simplify right side
    307.58x = 94,394.70
  5. Step 5: Solve for x
    x = 94,394.70/307.58
  6. Step 6: Final answer
    x = 306.90

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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.