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Finding the Fourth Proportional to 275.75, 380.62 and 157.79

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Solution

The fourth proportional to 275.75, 380.62 and 157.79 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.75 : 380.62 = 157.79 : x
  2. Step 2: Convert to fraction form
    275.75/380.62 = 157.79/x
  3. Step 3: Cross multiply
    275.75x = 380.62 × 157.79
  4. Step 4: Simplify right side
    275.75x = 60,059.18
  5. Step 5: Solve for x
    x = 60,059.18/275.75
  6. Step 6: Final answer
    x = 217.80

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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.