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Finding the Fourth Proportional to 333.96, 501.09 and 160.71

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Solution

The fourth proportional to 333.96, 501.09 and 160.71 is: 241.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 501.09 = 160.71 : x
  2. Step 2: Convert to fraction form
    333.96/501.09 = 160.71/x
  3. Step 3: Cross multiply
    333.96x = 501.09 × 160.71
  4. Step 4: Simplify right side
    333.96x = 80,530.17
  5. Step 5: Solve for x
    x = 80,530.17/333.96
  6. Step 6: Final answer
    x = 241.14

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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.