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Finding the Fourth Proportional to 273, 377.06 and 180.84

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Solution

The fourth proportional to 273, 377.06 and 180.84 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 377.06 = 180.84 : x
  2. Step 2: Convert to fraction form
    273/377.06 = 180.84/x
  3. Step 3: Cross multiply
    273x = 377.06 × 180.84
  4. Step 4: Simplify right side
    273x = 68,187.53
  5. Step 5: Solve for x
    x = 68,187.53/273
  6. Step 6: Final answer
    x = 249.77

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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.