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Finding the Fourth Proportional to 311.00, 465.54 and 195.03

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Solution

The fourth proportional to 311.00, 465.54 and 195.03 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.00 : 465.54 = 195.03 : x
  2. Step 2: Convert to fraction form
    311.00/465.54 = 195.03/x
  3. Step 3: Cross multiply
    311.00x = 465.54 × 195.03
  4. Step 4: Simplify right side
    311.00x = 90,795.28
  5. Step 5: Solve for x
    x = 90,795.28/311.00
  6. Step 6: Final answer
    x = 291.95

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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.