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Finding the Fourth Proportional to 304.02, 419.64 and 179.76

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Solution

The fourth proportional to 304.02, 419.64 and 179.76 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 419.64 = 179.76 : x
  2. Step 2: Convert to fraction form
    304.02/419.64 = 179.76/x
  3. Step 3: Cross multiply
    304.02x = 419.64 × 179.76
  4. Step 4: Simplify right side
    304.02x = 75,434.49
  5. Step 5: Solve for x
    x = 75,434.49/304.02
  6. Step 6: Final answer
    x = 248.12

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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.