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Finding the Fourth Proportional to 277.41, 382.88 and 160.97

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Solution

The fourth proportional to 277.41, 382.88 and 160.97 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 382.88 = 160.97 : x
  2. Step 2: Convert to fraction form
    277.41/382.88 = 160.97/x
  3. Step 3: Cross multiply
    277.41x = 382.88 × 160.97
  4. Step 4: Simplify right side
    277.41x = 61,629.47
  5. Step 5: Solve for x
    x = 61,629.47/277.41
  6. Step 6: Final answer
    x = 222.16

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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.