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Finding the Fourth Proportional to 295.71, 443.88 and 180.24

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Solution

The fourth proportional to 295.71, 443.88 and 180.24 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 443.88 = 180.24 : x
  2. Step 2: Convert to fraction form
    295.71/443.88 = 180.24/x
  3. Step 3: Cross multiply
    295.71x = 443.88 × 180.24
  4. Step 4: Simplify right side
    295.71x = 80,004.93
  5. Step 5: Solve for x
    x = 80,004.93/295.71
  6. Step 6: Final answer
    x = 270.55

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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.