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Finding the Fourth Proportional to 273.05, 376.82 and 148.72

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Solution

The fourth proportional to 273.05, 376.82 and 148.72 is: 205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.05 : 376.82 = 148.72 : x
  2. Step 2: Convert to fraction form
    273.05/376.82 = 148.72/x
  3. Step 3: Cross multiply
    273.05x = 376.82 × 148.72
  4. Step 4: Simplify right side
    273.05x = 56,040.96
  5. Step 5: Solve for x
    x = 56,040.96/273.05
  6. Step 6: Final answer
    x = 205.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.