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Finding the Fourth Proportional to 271.77, 407.58 and 194.82

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Solution

The fourth proportional to 271.77, 407.58 and 194.82 is: 292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.77 : 407.58 = 194.82 : x
  2. Step 2: Convert to fraction form
    271.77/407.58 = 194.82/x
  3. Step 3: Cross multiply
    271.77x = 407.58 × 194.82
  4. Step 4: Simplify right side
    271.77x = 79,404.74
  5. Step 5: Solve for x
    x = 79,404.74/271.77
  6. Step 6: Final answer
    x = 292.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.