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Finding the Fourth Proportional to 273.52, 377.52 and 186.22

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Solution

The fourth proportional to 273.52, 377.52 and 186.22 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 377.52 = 186.22 : x
  2. Step 2: Convert to fraction form
    273.52/377.52 = 186.22/x
  3. Step 3: Cross multiply
    273.52x = 377.52 × 186.22
  4. Step 4: Simplify right side
    273.52x = 70,301.77
  5. Step 5: Solve for x
    x = 70,301.77/273.52
  6. Step 6: Final answer
    x = 257.03

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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.