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Finding the Fourth Proportional to 277.46, 382.96 and 159.48

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Solution

The fourth proportional to 277.46, 382.96 and 159.48 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.46 : 382.96 = 159.48 : x
  2. Step 2: Convert to fraction form
    277.46/382.96 = 159.48/x
  3. Step 3: Cross multiply
    277.46x = 382.96 × 159.48
  4. Step 4: Simplify right side
    277.46x = 61,074.46
  5. Step 5: Solve for x
    x = 61,074.46/277.46
  6. Step 6: Final answer
    x = 220.12

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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.