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Finding the Fourth Proportional to 273.45, 377.37 and 149.10

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Solution

The fourth proportional to 273.45, 377.37 and 149.10 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.45 : 377.37 = 149.10 : x
  2. Step 2: Convert to fraction form
    273.45/377.37 = 149.10/x
  3. Step 3: Cross multiply
    273.45x = 377.37 × 149.10
  4. Step 4: Simplify right side
    273.45x = 56,267.28
  5. Step 5: Solve for x
    x = 56,267.28/273.45
  6. Step 6: Final answer
    x = 205.77

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