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Finding the Fourth Proportional to 427.17, 640.80 and 119.02

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Solution

The fourth proportional to 427.17, 640.80 and 119.02 is: 178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.17 : 640.80 = 119.02 : x
  2. Step 2: Convert to fraction form
    427.17/640.80 = 119.02/x
  3. Step 3: Cross multiply
    427.17x = 640.80 × 119.02
  4. Step 4: Simplify right side
    427.17x = 76,268.02
  5. Step 5: Solve for x
    x = 76,268.02/427.17
  6. Step 6: Final answer
    x = 178.54

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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.