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Finding the Fourth Proportional to 277.88, 416.78 and 174.86

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Solution

The fourth proportional to 277.88, 416.78 and 174.86 is: 262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 416.78 = 174.86 : x
  2. Step 2: Convert to fraction form
    277.88/416.78 = 174.86/x
  3. Step 3: Cross multiply
    277.88x = 416.78 × 174.86
  4. Step 4: Simplify right side
    277.88x = 72,876.07
  5. Step 5: Solve for x
    x = 72,876.07/277.88
  6. Step 6: Final answer
    x = 262.26

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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.