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Finding the Fourth Proportional to 182.05, 271.66 and 175.43

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Solution

The fourth proportional to 182.05, 271.66 and 175.43 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.05 : 271.66 = 175.43 : x
  2. Step 2: Convert to fraction form
    182.05/271.66 = 175.43/x
  3. Step 3: Cross multiply
    182.05x = 271.66 × 175.43
  4. Step 4: Simplify right side
    182.05x = 47,657.31
  5. Step 5: Solve for x
    x = 47,657.31/182.05
  6. Step 6: Final answer
    x = 261.78

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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.