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Finding the Fourth Proportional to 339.40, 509.32 and 134.13

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Solution

The fourth proportional to 339.40, 509.32 and 134.13 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 509.32 = 134.13 : x
  2. Step 2: Convert to fraction form
    339.40/509.32 = 134.13/x
  3. Step 3: Cross multiply
    339.40x = 509.32 × 134.13
  4. Step 4: Simplify right side
    339.40x = 68,315.09
  5. Step 5: Solve for x
    x = 68,315.09/339.40
  6. Step 6: Final answer
    x = 201.28

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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.