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Finding the Fourth Proportional to 304.95, 420.59 and 199.92

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Solution

The fourth proportional to 304.95, 420.59 and 199.92 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 420.59 = 199.92 : x
  2. Step 2: Convert to fraction form
    304.95/420.59 = 199.92/x
  3. Step 3: Cross multiply
    304.95x = 420.59 × 199.92
  4. Step 4: Simplify right side
    304.95x = 84,084.35
  5. Step 5: Solve for x
    x = 84,084.35/304.95
  6. Step 6: Final answer
    x = 275.73

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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.