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Finding the Fourth Proportional to 304, 419.50 and 179.64

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Solution

The fourth proportional to 304, 419.50 and 179.64 is: 247.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 419.50 = 179.64 : x
  2. Step 2: Convert to fraction form
    304/419.50 = 179.64/x
  3. Step 3: Cross multiply
    304x = 419.50 × 179.64
  4. Step 4: Simplify right side
    304x = 75,358.98
  5. Step 5: Solve for x
    x = 75,358.98/304
  6. Step 6: Final answer
    x = 247.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.