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Finding the Fourth Proportional to 334.75, 502.21 and 106.75

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Solution

The fourth proportional to 334.75, 502.21 and 106.75 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 502.21 = 106.75 : x
  2. Step 2: Convert to fraction form
    334.75/502.21 = 106.75/x
  3. Step 3: Cross multiply
    334.75x = 502.21 × 106.75
  4. Step 4: Simplify right side
    334.75x = 53,610.92
  5. Step 5: Solve for x
    x = 53,610.92/334.75
  6. Step 6: Final answer
    x = 160.15

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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.