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Finding the Fourth Proportional to 273.28, 377.14 and 148.93

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Solution

The fourth proportional to 273.28, 377.14 and 148.93 is: 205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 377.14 = 148.93 : x
  2. Step 2: Convert to fraction form
    273.28/377.14 = 148.93/x
  3. Step 3: Cross multiply
    273.28x = 377.14 × 148.93
  4. Step 4: Simplify right side
    273.28x = 56,167.66
  5. Step 5: Solve for x
    x = 56,167.66/273.28
  6. Step 6: Final answer
    x = 205.53

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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.