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Finding the Fourth Proportional to 277.12, 381.96 and 189.64

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Solution

The fourth proportional to 277.12, 381.96 and 189.64 is: 261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.12 : 381.96 = 189.64 : x
  2. Step 2: Convert to fraction form
    277.12/381.96 = 189.64/x
  3. Step 3: Cross multiply
    277.12x = 381.96 × 189.64
  4. Step 4: Simplify right side
    277.12x = 72,434.89
  5. Step 5: Solve for x
    x = 72,434.89/277.12
  6. Step 6: Final answer
    x = 261.38

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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.