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Finding the Fourth Proportional to 277.34, 382.86 and 189.27

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Solution

The fourth proportional to 277.34, 382.86 and 189.27 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 382.86 = 189.27 : x
  2. Step 2: Convert to fraction form
    277.34/382.86 = 189.27/x
  3. Step 3: Cross multiply
    277.34x = 382.86 × 189.27
  4. Step 4: Simplify right side
    277.34x = 72,463.91
  5. Step 5: Solve for x
    x = 72,463.91/277.34
  6. Step 6: Final answer
    x = 261.29

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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.