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Finding the Fourth Proportional to 277.11, 414.78 and 174.51

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Solution

The fourth proportional to 277.11, 414.78 and 174.51 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 414.78 = 174.51 : x
  2. Step 2: Convert to fraction form
    277.11/414.78 = 174.51/x
  3. Step 3: Cross multiply
    277.11x = 414.78 × 174.51
  4. Step 4: Simplify right side
    277.11x = 72,383.26
  5. Step 5: Solve for x
    x = 72,383.26/277.11
  6. Step 6: Final answer
    x = 261.21

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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.