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Finding the Fourth Proportional to 335.00, 502.38 and 180.90

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Solution

The fourth proportional to 335.00, 502.38 and 180.90 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.00 : 502.38 = 180.90 : x
  2. Step 2: Convert to fraction form
    335.00/502.38 = 180.90/x
  3. Step 3: Cross multiply
    335.00x = 502.38 × 180.90
  4. Step 4: Simplify right side
    335.00x = 90,880.54
  5. Step 5: Solve for x
    x = 90,880.54/335.00
  6. Step 6: Final answer
    x = 271.28

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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.