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Finding the Fourth Proportional to 304.33, 419.95 and 199.36

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Solution

The fourth proportional to 304.33, 419.95 and 199.36 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.33 : 419.95 = 199.36 : x
  2. Step 2: Convert to fraction form
    304.33/419.95 = 199.36/x
  3. Step 3: Cross multiply
    304.33x = 419.95 × 199.36
  4. Step 4: Simplify right side
    304.33x = 83,721.23
  5. Step 5: Solve for x
    x = 83,721.23/304.33
  6. Step 6: Final answer
    x = 275.10

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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.