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Finding the Fourth Proportional to 335.38, 503.17 and 143.02

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Solution

The fourth proportional to 335.38, 503.17 and 143.02 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.38 : 503.17 = 143.02 : x
  2. Step 2: Convert to fraction form
    335.38/503.17 = 143.02/x
  3. Step 3: Cross multiply
    335.38x = 503.17 × 143.02
  4. Step 4: Simplify right side
    335.38x = 71,960.14
  5. Step 5: Solve for x
    x = 71,960.14/335.38
  6. Step 6: Final answer
    x = 214.57

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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.