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Finding the Fourth Proportional to 339.03, 507.83 and 155.97

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Solution

The fourth proportional to 339.03, 507.83 and 155.97 is: 233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.03 : 507.83 = 155.97 : x
  2. Step 2: Convert to fraction form
    339.03/507.83 = 155.97/x
  3. Step 3: Cross multiply
    339.03x = 507.83 × 155.97
  4. Step 4: Simplify right side
    339.03x = 79,205.47
  5. Step 5: Solve for x
    x = 79,205.47/339.03
  6. Step 6: Final answer
    x = 233.62

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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.