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Finding the Fourth Proportional to 271.77, 407.42 and 194.54

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Solution

The fourth proportional to 271.77, 407.42 and 194.54 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.77 : 407.42 = 194.54 : x
  2. Step 2: Convert to fraction form
    271.77/407.42 = 194.54/x
  3. Step 3: Cross multiply
    271.77x = 407.42 × 194.54
  4. Step 4: Simplify right side
    271.77x = 79,258.51
  5. Step 5: Solve for x
    x = 79,258.51/271.77
  6. Step 6: Final answer
    x = 291.64

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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.