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Finding the Fourth Proportional to 271, 406.16 and 155.36

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Solution

The fourth proportional to 271, 406.16 and 155.36 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 406.16 = 155.36 : x
  2. Step 2: Convert to fraction form
    271/406.16 = 155.36/x
  3. Step 3: Cross multiply
    271x = 406.16 × 155.36
  4. Step 4: Simplify right side
    271x = 63,101.02
  5. Step 5: Solve for x
    x = 63,101.02/271
  6. Step 6: Final answer
    x = 232.85

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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.