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Finding the Fourth Proportional to 339.74, 509.45 and 201.06

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Solution

The fourth proportional to 339.74, 509.45 and 201.06 is: 301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 509.45 = 201.06 : x
  2. Step 2: Convert to fraction form
    339.74/509.45 = 201.06/x
  3. Step 3: Cross multiply
    339.74x = 509.45 × 201.06
  4. Step 4: Simplify right side
    339.74x = 102,430.94
  5. Step 5: Solve for x
    x = 102,430.94/339.74
  6. Step 6: Final answer
    x = 301.49

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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.