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Finding the Fourth Proportional to 271.74, 407.25 and 202.86

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Solution

The fourth proportional to 271.74, 407.25 and 202.86 is: 304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 407.25 = 202.86 : x
  2. Step 2: Convert to fraction form
    271.74/407.25 = 202.86/x
  3. Step 3: Cross multiply
    271.74x = 407.25 × 202.86
  4. Step 4: Simplify right side
    271.74x = 82,614.74
  5. Step 5: Solve for x
    x = 82,614.74/271.74
  6. Step 6: Final answer
    x = 304.02

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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.