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Finding the Fourth Proportional to 325.98, 449.80 and 201.64

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Solution

The fourth proportional to 325.98, 449.80 and 201.64 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.98 : 449.80 = 201.64 : x
  2. Step 2: Convert to fraction form
    325.98/449.80 = 201.64/x
  3. Step 3: Cross multiply
    325.98x = 449.80 × 201.64
  4. Step 4: Simplify right side
    325.98x = 90,697.67
  5. Step 5: Solve for x
    x = 90,697.67/325.98
  6. Step 6: Final answer
    x = 278.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.