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Finding the Fourth Proportional to 295.31, 443.33 and 180.09

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Solution

The fourth proportional to 295.31, 443.33 and 180.09 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.31 : 443.33 = 180.09 : x
  2. Step 2: Convert to fraction form
    295.31/443.33 = 180.09/x
  3. Step 3: Cross multiply
    295.31x = 443.33 × 180.09
  4. Step 4: Simplify right side
    295.31x = 79,838.40
  5. Step 5: Solve for x
    x = 79,838.40/295.31
  6. Step 6: Final answer
    x = 270.36

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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.