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Finding the Fourth Proportional to 277.69, 415.97 and 138.66

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Solution

The fourth proportional to 277.69, 415.97 and 138.66 is: 207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 415.97 = 138.66 : x
  2. Step 2: Convert to fraction form
    277.69/415.97 = 138.66/x
  3. Step 3: Cross multiply
    277.69x = 415.97 × 138.66
  4. Step 4: Simplify right side
    277.69x = 57,678.40
  5. Step 5: Solve for x
    x = 57,678.40/277.69
  6. Step 6: Final answer
    x = 207.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.