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Finding the Fourth Proportional to 309.74, 464.94 and 179.88

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Solution

The fourth proportional to 309.74, 464.94 and 179.88 is: 270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 464.94 = 179.88 : x
  2. Step 2: Convert to fraction form
    309.74/464.94 = 179.88/x
  3. Step 3: Cross multiply
    309.74x = 464.94 × 179.88
  4. Step 4: Simplify right side
    309.74x = 83,633.41
  5. Step 5: Solve for x
    x = 83,633.41/309.74
  6. Step 6: Final answer
    x = 270.02

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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.