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Finding the Fourth Proportional to 182.00, 271.26 and 171.74

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Solution

The fourth proportional to 182.00, 271.26 and 171.74 is: 255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.00 : 271.26 = 171.74 : x
  2. Step 2: Convert to fraction form
    182.00/271.26 = 171.74/x
  3. Step 3: Cross multiply
    182.00x = 271.26 × 171.74
  4. Step 4: Simplify right side
    182.00x = 46,586.87
  5. Step 5: Solve for x
    x = 46,586.87/182.00
  6. Step 6: Final answer
    x = 255.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.