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Finding the Fourth Proportional to 277.41, 382.64 and 166.80

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Solution

The fourth proportional to 277.41, 382.64 and 166.80 is: 230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 382.64 = 166.80 : x
  2. Step 2: Convert to fraction form
    277.41/382.64 = 166.80/x
  3. Step 3: Cross multiply
    277.41x = 382.64 × 166.80
  4. Step 4: Simplify right side
    277.41x = 63,824.35
  5. Step 5: Solve for x
    x = 63,824.35/277.41
  6. Step 6: Final answer
    x = 230.07

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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.