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Finding the Fourth Proportional to 277.86, 416.87 and 82.86

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Solution

The fourth proportional to 277.86, 416.87 and 82.86 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 416.87 = 82.86 : x
  2. Step 2: Convert to fraction form
    277.86/416.87 = 82.86/x
  3. Step 3: Cross multiply
    277.86x = 416.87 × 82.86
  4. Step 4: Simplify right side
    277.86x = 34,543.76
  5. Step 5: Solve for x
    x = 34,543.76/277.86
  6. Step 6: Final answer
    x = 124.32

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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.