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Finding the Fourth Proportional to 277.40, 382.82 and 159.40

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Solution

The fourth proportional to 277.40, 382.82 and 159.40 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.82 = 159.40 : x
  2. Step 2: Convert to fraction form
    277.40/382.82 = 159.40/x
  3. Step 3: Cross multiply
    277.40x = 382.82 × 159.40
  4. Step 4: Simplify right side
    277.40x = 61,019.59
  5. Step 5: Solve for x
    x = 61,019.59/277.40
  6. Step 6: Final answer
    x = 219.97

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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.