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Finding the Fourth Proportional to 377.51, 565.83 and 182.61

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Solution

The fourth proportional to 377.51, 565.83 and 182.61 is: 273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.51 : 565.83 = 182.61 : x
  2. Step 2: Convert to fraction form
    377.51/565.83 = 182.61/x
  3. Step 3: Cross multiply
    377.51x = 565.83 × 182.61
  4. Step 4: Simplify right side
    377.51x = 103,326.22
  5. Step 5: Solve for x
    x = 103,326.22/377.51
  6. Step 6: Final answer
    x = 273.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.