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Finding the Fourth Proportional to 264.53, 396.86 and 182.06

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Solution

The fourth proportional to 264.53, 396.86 and 182.06 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.53 : 396.86 = 182.06 : x
  2. Step 2: Convert to fraction form
    264.53/396.86 = 182.06/x
  3. Step 3: Cross multiply
    264.53x = 396.86 × 182.06
  4. Step 4: Simplify right side
    264.53x = 72,249.44
  5. Step 5: Solve for x
    x = 72,249.44/264.53
  6. Step 6: Final answer
    x = 273.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.