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Finding the Fourth Proportional to 325.85, 449.71 and 193.10

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Solution

The fourth proportional to 325.85, 449.71 and 193.10 is: 266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.85 : 449.71 = 193.10 : x
  2. Step 2: Convert to fraction form
    325.85/449.71 = 193.10/x
  3. Step 3: Cross multiply
    325.85x = 449.71 × 193.10
  4. Step 4: Simplify right side
    325.85x = 86,836.27
  5. Step 5: Solve for x
    x = 86,836.27/325.85
  6. Step 6: Final answer
    x = 266.50

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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.