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Finding the Fourth Proportional to 275.77, 380.54 and 157.75

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Solution

The fourth proportional to 275.77, 380.54 and 157.75 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.77 : 380.54 = 157.75 : x
  2. Step 2: Convert to fraction form
    275.77/380.54 = 157.75/x
  3. Step 3: Cross multiply
    275.77x = 380.54 × 157.75
  4. Step 4: Simplify right side
    275.77x = 60,029.63
  5. Step 5: Solve for x
    x = 60,029.63/275.77
  6. Step 6: Final answer
    x = 217.68

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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.