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Finding the Fourth Proportional to 379.96, 570.08 and 160.64

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Solution

The fourth proportional to 379.96, 570.08 and 160.64 is: 241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.96 : 570.08 = 160.64 : x
  2. Step 2: Convert to fraction form
    379.96/570.08 = 160.64/x
  3. Step 3: Cross multiply
    379.96x = 570.08 × 160.64
  4. Step 4: Simplify right side
    379.96x = 91,576.14
  5. Step 5: Solve for x
    x = 91,576.14/379.96
  6. Step 6: Final answer
    x = 241.02

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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.