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Finding the Fourth Proportional to 310.44, 464.88 and 180.12

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Solution

The fourth proportional to 310.44, 464.88 and 180.12 is: 269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.44 : 464.88 = 180.12 : x
  2. Step 2: Convert to fraction form
    310.44/464.88 = 180.12/x
  3. Step 3: Cross multiply
    310.44x = 464.88 × 180.12
  4. Step 4: Simplify right side
    310.44x = 83,734.19
  5. Step 5: Solve for x
    x = 83,734.19/310.44
  6. Step 6: Final answer
    x = 269.73

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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.