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Finding the Fourth Proportional to 277, 382.26 and 160.58

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Solution

The fourth proportional to 277, 382.26 and 160.58 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 382.26 = 160.58 : x
  2. Step 2: Convert to fraction form
    277/382.26 = 160.58/x
  3. Step 3: Cross multiply
    277x = 382.26 × 160.58
  4. Step 4: Simplify right side
    277x = 61,383.31
  5. Step 5: Solve for x
    x = 61,383.31/277
  6. Step 6: Final answer
    x = 221.60

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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.