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Finding the Fourth Proportional to 295.88, 443.81 and 180.35

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Solution

The fourth proportional to 295.88, 443.81 and 180.35 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 443.81 = 180.35 : x
  2. Step 2: Convert to fraction form
    295.88/443.81 = 180.35/x
  3. Step 3: Cross multiply
    295.88x = 443.81 × 180.35
  4. Step 4: Simplify right side
    295.88x = 80,041.13
  5. Step 5: Solve for x
    x = 80,041.13/295.88
  6. Step 6: Final answer
    x = 270.52

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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.