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Finding the Fourth Proportional to 277.67, 416.47 and 82.66

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Solution

The fourth proportional to 277.67, 416.47 and 82.66 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.47 = 82.66 : x
  2. Step 2: Convert to fraction form
    277.67/416.47 = 82.66/x
  3. Step 3: Cross multiply
    277.67x = 416.47 × 82.66
  4. Step 4: Simplify right side
    277.67x = 34,425.41
  5. Step 5: Solve for x
    x = 34,425.41/277.67
  6. Step 6: Final answer
    x = 123.98

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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.