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Finding the Fourth Proportional to 182.04, 271.56 and 168.94

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Solution

The fourth proportional to 182.04, 271.56 and 168.94 is: 252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 271.56 = 168.94 : x
  2. Step 2: Convert to fraction form
    182.04/271.56 = 168.94/x
  3. Step 3: Cross multiply
    182.04x = 271.56 × 168.94
  4. Step 4: Simplify right side
    182.04x = 45,877.35
  5. Step 5: Solve for x
    x = 45,877.35/182.04
  6. Step 6: Final answer
    x = 252.02

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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.