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Finding the Fourth Proportional to 304.09, 419.63 and 178.07

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Solution

The fourth proportional to 304.09, 419.63 and 178.07 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 419.63 = 178.07 : x
  2. Step 2: Convert to fraction form
    304.09/419.63 = 178.07/x
  3. Step 3: Cross multiply
    304.09x = 419.63 × 178.07
  4. Step 4: Simplify right side
    304.09x = 74,725.07
  5. Step 5: Solve for x
    x = 74,725.07/304.09
  6. Step 6: Final answer
    x = 245.74

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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.