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Finding the Fourth Proportional to 277.42, 382.58 and 182.85

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Solution

The fourth proportional to 277.42, 382.58 and 182.85 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.42 : 382.58 = 182.85 : x
  2. Step 2: Convert to fraction form
    277.42/382.58 = 182.85/x
  3. Step 3: Cross multiply
    277.42x = 382.58 × 182.85
  4. Step 4: Simplify right side
    277.42x = 69,951.93
  5. Step 5: Solve for x
    x = 69,951.93/277.42
  6. Step 6: Final answer
    x = 252.16

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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.