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Finding the Fourth Proportional to 335.38, 502.69 and 161.80

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Solution

The fourth proportional to 335.38, 502.69 and 161.80 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.38 : 502.69 = 161.80 : x
  2. Step 2: Convert to fraction form
    335.38/502.69 = 161.80/x
  3. Step 3: Cross multiply
    335.38x = 502.69 × 161.80
  4. Step 4: Simplify right side
    335.38x = 81,335.24
  5. Step 5: Solve for x
    x = 81,335.24/335.38
  6. Step 6: Final answer
    x = 242.52

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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.