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Finding the Fourth Proportional to 273.13, 376.91 and 148.78

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Solution

The fourth proportional to 273.13, 376.91 and 148.78 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 376.91 = 148.78 : x
  2. Step 2: Convert to fraction form
    273.13/376.91 = 148.78/x
  3. Step 3: Cross multiply
    273.13x = 376.91 × 148.78
  4. Step 4: Simplify right side
    273.13x = 56,076.67
  5. Step 5: Solve for x
    x = 56,076.67/273.13
  6. Step 6: Final answer
    x = 205.31

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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.