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Finding the Fourth Proportional to 377.52, 566.46 and 185.12

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Solution

The fourth proportional to 377.52, 566.46 and 185.12 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.52 : 566.46 = 185.12 : x
  2. Step 2: Convert to fraction form
    377.52/566.46 = 185.12/x
  3. Step 3: Cross multiply
    377.52x = 566.46 × 185.12
  4. Step 4: Simplify right side
    377.52x = 104,863.08
  5. Step 5: Solve for x
    x = 104,863.08/377.52
  6. Step 6: Final answer
    x = 277.77

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