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Finding the Fourth Proportional to 249.95, 374.20 and 203.78

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Solution

The fourth proportional to 249.95, 374.20 and 203.78 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 374.20 = 203.78 : x
  2. Step 2: Convert to fraction form
    249.95/374.20 = 203.78/x
  3. Step 3: Cross multiply
    249.95x = 374.20 × 203.78
  4. Step 4: Simplify right side
    249.95x = 76,254.48
  5. Step 5: Solve for x
    x = 76,254.48/249.95
  6. Step 6: Final answer
    x = 305.08

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