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Finding the Fourth Proportional to 339.62, 509.40 and 202.23

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Solution

The fourth proportional to 339.62, 509.40 and 202.23 is: 303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.62 : 509.40 = 202.23 : x
  2. Step 2: Convert to fraction form
    339.62/509.40 = 202.23/x
  3. Step 3: Cross multiply
    339.62x = 509.40 × 202.23
  4. Step 4: Simplify right side
    339.62x = 103,015.96
  5. Step 5: Solve for x
    x = 103,015.96/339.62
  6. Step 6: Final answer
    x = 303.33

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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.