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Finding the Fourth Proportional to 377.86, 566.80 and 182.82

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Solution

The fourth proportional to 377.86, 566.80 and 182.82 is: 274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.86 : 566.80 = 182.82 : x
  2. Step 2: Convert to fraction form
    377.86/566.80 = 182.82/x
  3. Step 3: Cross multiply
    377.86x = 566.80 × 182.82
  4. Step 4: Simplify right side
    377.86x = 103,622.38
  5. Step 5: Solve for x
    x = 103,622.38/377.86
  6. Step 6: Final answer
    x = 274.23

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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.