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Finding the Fourth Proportional to 339.78, 509.23 and 164.02

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Solution

The fourth proportional to 339.78, 509.23 and 164.02 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 509.23 = 164.02 : x
  2. Step 2: Convert to fraction form
    339.78/509.23 = 164.02/x
  3. Step 3: Cross multiply
    339.78x = 509.23 × 164.02
  4. Step 4: Simplify right side
    339.78x = 83,523.90
  5. Step 5: Solve for x
    x = 83,523.90/339.78
  6. Step 6: Final answer
    x = 245.82

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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.