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Finding the Fourth Proportional to 182.00, 271.76 and 171.57

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Solution

The fourth proportional to 182.00, 271.76 and 171.57 is: 256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.00 : 271.76 = 171.57 : x
  2. Step 2: Convert to fraction form
    182.00/271.76 = 171.57/x
  3. Step 3: Cross multiply
    182.00x = 271.76 × 171.57
  4. Step 4: Simplify right side
    182.00x = 46,624.50
  5. Step 5: Solve for x
    x = 46,624.50/182.00
  6. Step 6: Final answer
    x = 256.18

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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.