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Finding the Fourth Proportional to 277.89, 383.46 and 159.86

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Solution

The fourth proportional to 277.89, 383.46 and 159.86 is: 220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 383.46 = 159.86 : x
  2. Step 2: Convert to fraction form
    277.89/383.46 = 159.86/x
  3. Step 3: Cross multiply
    277.89x = 383.46 × 159.86
  4. Step 4: Simplify right side
    277.89x = 61,300.87
  5. Step 5: Solve for x
    x = 61,300.87/277.89
  6. Step 6: Final answer
    x = 220.59

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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.