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Finding the Fourth Proportional to 329.03, 453.94 and 189.05

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Solution

The fourth proportional to 329.03, 453.94 and 189.05 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.03 : 453.94 = 189.05 : x
  2. Step 2: Convert to fraction form
    329.03/453.94 = 189.05/x
  3. Step 3: Cross multiply
    329.03x = 453.94 × 189.05
  4. Step 4: Simplify right side
    329.03x = 85,817.36
  5. Step 5: Solve for x
    x = 85,817.36/329.03
  6. Step 6: Final answer
    x = 260.82

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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.