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Finding the Fourth Proportional to 335.69, 503.37 and 140.64

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Solution

The fourth proportional to 335.69, 503.37 and 140.64 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.69 : 503.37 = 140.64 : x
  2. Step 2: Convert to fraction form
    335.69/503.37 = 140.64/x
  3. Step 3: Cross multiply
    335.69x = 503.37 × 140.64
  4. Step 4: Simplify right side
    335.69x = 70,793.96
  5. Step 5: Solve for x
    x = 70,793.96/335.69
  6. Step 6: Final answer
    x = 210.89

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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.