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Finding the Fourth Proportional to 277.08, 382.39 and 159.07

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Solution

The fourth proportional to 277.08, 382.39 and 159.07 is: 219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 382.39 = 159.07 : x
  2. Step 2: Convert to fraction form
    277.08/382.39 = 159.07/x
  3. Step 3: Cross multiply
    277.08x = 382.39 × 159.07
  4. Step 4: Simplify right side
    277.08x = 60,826.14
  5. Step 5: Solve for x
    x = 60,826.14/277.08
  6. Step 6: Final answer
    x = 219.53

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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.