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Finding the Fourth Proportional to 273.72, 377.72 and 149.38

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Solution

The fourth proportional to 273.72, 377.72 and 149.38 is: 206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 377.72 = 149.38 : x
  2. Step 2: Convert to fraction form
    273.72/377.72 = 149.38/x
  3. Step 3: Cross multiply
    273.72x = 377.72 × 149.38
  4. Step 4: Simplify right side
    273.72x = 56,423.24
  5. Step 5: Solve for x
    x = 56,423.24/273.72
  6. Step 6: Final answer
    x = 206.13

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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.