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Finding the Fourth Proportional to 295.85, 443.53 and 180.33

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Solution

The fourth proportional to 295.85, 443.53 and 180.33 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.85 : 443.53 = 180.33 : x
  2. Step 2: Convert to fraction form
    295.85/443.53 = 180.33/x
  3. Step 3: Cross multiply
    295.85x = 443.53 × 180.33
  4. Step 4: Simplify right side
    295.85x = 79,979.31
  5. Step 5: Solve for x
    x = 79,979.31/295.85
  6. Step 6: Final answer
    x = 270.34

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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.