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Finding the Fourth Proportional to 277.66, 382.89 and 218.71

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Solution

The fourth proportional to 277.66, 382.89 and 218.71 is: 301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 382.89 = 218.71 : x
  2. Step 2: Convert to fraction form
    277.66/382.89 = 218.71/x
  3. Step 3: Cross multiply
    277.66x = 382.89 × 218.71
  4. Step 4: Simplify right side
    277.66x = 83,741.87
  5. Step 5: Solve for x
    x = 83,741.87/277.66
  6. Step 6: Final answer
    x = 301.60

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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.