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Finding the Fourth Proportional to 277.45, 382.91 and 159.43

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Solution

The fourth proportional to 277.45, 382.91 and 159.43 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.45 : 382.91 = 159.43 : x
  2. Step 2: Convert to fraction form
    277.45/382.91 = 159.43/x
  3. Step 3: Cross multiply
    277.45x = 382.91 × 159.43
  4. Step 4: Simplify right side
    277.45x = 61,047.34
  5. Step 5: Solve for x
    x = 61,047.34/277.45
  6. Step 6: Final answer
    x = 220.03

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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.