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Finding the Fourth Proportional to 271.72, 407.97 and 156.25

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Solution

The fourth proportional to 271.72, 407.97 and 156.25 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 407.97 = 156.25 : x
  2. Step 2: Convert to fraction form
    271.72/407.97 = 156.25/x
  3. Step 3: Cross multiply
    271.72x = 407.97 × 156.25
  4. Step 4: Simplify right side
    271.72x = 63,745.31
  5. Step 5: Solve for x
    x = 63,745.31/271.72
  6. Step 6: Final answer
    x = 234.60

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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.