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Finding the Fourth Proportional to 277.63, 382.12 and 255.76

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Solution

The fourth proportional to 277.63, 382.12 and 255.76 is: 352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 382.12 = 255.76 : x
  2. Step 2: Convert to fraction form
    277.63/382.12 = 255.76/x
  3. Step 3: Cross multiply
    277.63x = 382.12 × 255.76
  4. Step 4: Simplify right side
    277.63x = 97,729.42
  5. Step 5: Solve for x
    x = 97,729.42/277.63
  6. Step 6: Final answer
    x = 352.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.