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Finding the Fourth Proportional to 277.62, 382.94 and 212.10

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Solution

The fourth proportional to 277.62, 382.94 and 212.10 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.62 : 382.94 = 212.10 : x
  2. Step 2: Convert to fraction form
    277.62/382.94 = 212.10/x
  3. Step 3: Cross multiply
    277.62x = 382.94 × 212.10
  4. Step 4: Simplify right side
    277.62x = 81,221.57
  5. Step 5: Solve for x
    x = 81,221.57/277.62
  6. Step 6: Final answer
    x = 292.56

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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.