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Finding the Fourth Proportional to 277.79, 416.42 and 174.75

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Solution

The fourth proportional to 277.79, 416.42 and 174.75 is: 261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.79 : 416.42 = 174.75 : x
  2. Step 2: Convert to fraction form
    277.79/416.42 = 174.75/x
  3. Step 3: Cross multiply
    277.79x = 416.42 × 174.75
  4. Step 4: Simplify right side
    277.79x = 72,768.52
  5. Step 5: Solve for x
    x = 72,768.52/277.79
  6. Step 6: Final answer
    x = 261.96

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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.