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Finding the Fourth Proportional to 334.40, 501.76 and 160.96

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Solution

The fourth proportional to 334.40, 501.76 and 160.96 is: 241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 501.76 = 160.96 : x
  2. Step 2: Convert to fraction form
    334.40/501.76 = 160.96/x
  3. Step 3: Cross multiply
    334.40x = 501.76 × 160.96
  4. Step 4: Simplify right side
    334.40x = 80,763.29
  5. Step 5: Solve for x
    x = 80,763.29/334.40
  6. Step 6: Final answer
    x = 241.52

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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.