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Finding the Fourth Proportional to 377.28, 566.16 and 160.96

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Solution

The fourth proportional to 377.28, 566.16 and 160.96 is: 241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 566.16 = 160.96 : x
  2. Step 2: Convert to fraction form
    377.28/566.16 = 160.96/x
  3. Step 3: Cross multiply
    377.28x = 566.16 × 160.96
  4. Step 4: Simplify right side
    377.28x = 91,129.11
  5. Step 5: Solve for x
    x = 91,129.11/377.28
  6. Step 6: Final answer
    x = 241.54

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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.