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Finding the Fourth Proportional to 277.19, 382.67 and 214.88

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Solution

The fourth proportional to 277.19, 382.67 and 214.88 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.19 : 382.67 = 214.88 : x
  2. Step 2: Convert to fraction form
    277.19/382.67 = 214.88/x
  3. Step 3: Cross multiply
    277.19x = 382.67 × 214.88
  4. Step 4: Simplify right side
    277.19x = 82,229.62
  5. Step 5: Solve for x
    x = 82,229.62/277.19
  6. Step 6: Final answer
    x = 296.65

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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.