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Finding the Fourth Proportional to 407.12, 610.23 and 163.49

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Solution

The fourth proportional to 407.12, 610.23 and 163.49 is: 245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 610.23 = 163.49 : x
  2. Step 2: Convert to fraction form
    407.12/610.23 = 163.49/x
  3. Step 3: Cross multiply
    407.12x = 610.23 × 163.49
  4. Step 4: Simplify right side
    407.12x = 99,766.50
  5. Step 5: Solve for x
    x = 99,766.50/407.12
  6. Step 6: Final answer
    x = 245.05

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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.