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Finding the Fourth Proportional to 304.38, 420.06 and 173.39

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Solution

The fourth proportional to 304.38, 420.06 and 173.39 is: 239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.38 : 420.06 = 173.39 : x
  2. Step 2: Convert to fraction form
    304.38/420.06 = 173.39/x
  3. Step 3: Cross multiply
    304.38x = 420.06 × 173.39
  4. Step 4: Simplify right side
    304.38x = 72,834.63
  5. Step 5: Solve for x
    x = 72,834.63/304.38
  6. Step 6: Final answer
    x = 239.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.