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Finding the Fourth Proportional to 277.41, 382.80 and 159.38

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Solution

The fourth proportional to 277.41, 382.80 and 159.38 is: 219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.41 : 382.80 = 159.38 : x
  2. Step 2: Convert to fraction form
    277.41/382.80 = 159.38/x
  3. Step 3: Cross multiply
    277.41x = 382.80 × 159.38
  4. Step 4: Simplify right side
    277.41x = 61,008.75
  5. Step 5: Solve for x
    x = 61,008.75/277.41
  6. Step 6: Final answer
    x = 219.92

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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.