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Finding the Fourth Proportional to 203.96, 305.10 and 185.94

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Solution

The fourth proportional to 203.96, 305.10 and 185.94 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.96 : 305.10 = 185.94 : x
  2. Step 2: Convert to fraction form
    203.96/305.10 = 185.94/x
  3. Step 3: Cross multiply
    203.96x = 305.10 × 185.94
  4. Step 4: Simplify right side
    203.96x = 56,730.29
  5. Step 5: Solve for x
    x = 56,730.29/203.96
  6. Step 6: Final answer
    x = 278.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.