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Finding the Fourth Proportional to 295.95, 443.70 and 180.37

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Solution

The fourth proportional to 295.95, 443.70 and 180.37 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 443.70 = 180.37 : x
  2. Step 2: Convert to fraction form
    295.95/443.70 = 180.37/x
  3. Step 3: Cross multiply
    295.95x = 443.70 × 180.37
  4. Step 4: Simplify right side
    295.95x = 80,030.72
  5. Step 5: Solve for x
    x = 80,030.72/295.95
  6. Step 6: Final answer
    x = 270.42

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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.