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Finding the Fourth Proportional to 277.14, 382.55 and 178.93

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Solution

The fourth proportional to 277.14, 382.55 and 178.93 is: 246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 382.55 = 178.93 : x
  2. Step 2: Convert to fraction form
    277.14/382.55 = 178.93/x
  3. Step 3: Cross multiply
    277.14x = 382.55 × 178.93
  4. Step 4: Simplify right side
    277.14x = 68,449.67
  5. Step 5: Solve for x
    x = 68,449.67/277.14
  6. Step 6: Final answer
    x = 246.99

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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.