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Finding the Fourth Proportional to 307.82, 461.86 and 163.50

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Solution

The fourth proportional to 307.82, 461.86 and 163.50 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.86 = 163.50 : x
  2. Step 2: Convert to fraction form
    307.82/461.86 = 163.50/x
  3. Step 3: Cross multiply
    307.82x = 461.86 × 163.50
  4. Step 4: Simplify right side
    307.82x = 75,514.11
  5. Step 5: Solve for x
    x = 75,514.11/307.82
  6. Step 6: Final answer
    x = 245.32

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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.