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Finding the Fourth Proportional to 225.52, 339 and 185.80

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Solution

The fourth proportional to 225.52, 339 and 185.80 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.52 : 339 = 185.80 : x
  2. Step 2: Convert to fraction form
    225.52/339 = 185.80/x
  3. Step 3: Cross multiply
    225.52x = 339 × 185.80
  4. Step 4: Simplify right side
    225.52x = 62,986.20
  5. Step 5: Solve for x
    x = 62,986.20/225.52
  6. Step 6: Final answer
    x = 279.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.