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Finding the Fourth Proportional to 182.44, 271.85 and 175.56

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Solution

The fourth proportional to 182.44, 271.85 and 175.56 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.44 : 271.85 = 175.56 : x
  2. Step 2: Convert to fraction form
    182.44/271.85 = 175.56/x
  3. Step 3: Cross multiply
    182.44x = 271.85 × 175.56
  4. Step 4: Simplify right side
    182.44x = 47,725.99
  5. Step 5: Solve for x
    x = 47,725.99/182.44
  6. Step 6: Final answer
    x = 261.60

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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.