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Finding the Fourth Proportional to 303.04, 418.40 and 199.68

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Solution

The fourth proportional to 303.04, 418.40 and 199.68 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.04 : 418.40 = 199.68 : x
  2. Step 2: Convert to fraction form
    303.04/418.40 = 199.68/x
  3. Step 3: Cross multiply
    303.04x = 418.40 × 199.68
  4. Step 4: Simplify right side
    303.04x = 83,546.11
  5. Step 5: Solve for x
    x = 83,546.11/303.04
  6. Step 6: Final answer
    x = 275.69

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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.