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Finding the Fourth Proportional to 277.21, 382.48 and 160.75

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Solution

The fourth proportional to 277.21, 382.48 and 160.75 is: 221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.21 : 382.48 = 160.75 : x
  2. Step 2: Convert to fraction form
    277.21/382.48 = 160.75/x
  3. Step 3: Cross multiply
    277.21x = 382.48 × 160.75
  4. Step 4: Simplify right side
    277.21x = 61,483.66
  5. Step 5: Solve for x
    x = 61,483.66/277.21
  6. Step 6: Final answer
    x = 221.79

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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.