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Finding the Fourth Proportional to 304.36, 419.72 and 199.34

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Solution

The fourth proportional to 304.36, 419.72 and 199.34 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.36 : 419.72 = 199.34 : x
  2. Step 2: Convert to fraction form
    304.36/419.72 = 199.34/x
  3. Step 3: Cross multiply
    304.36x = 419.72 × 199.34
  4. Step 4: Simplify right side
    304.36x = 83,666.98
  5. Step 5: Solve for x
    x = 83,666.98/304.36
  6. Step 6: Final answer
    x = 274.89

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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.