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Finding the Fourth Proportional to 252.99, 378 and 204.39

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Solution

The fourth proportional to 252.99, 378 and 204.39 is: 305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 378 = 204.39 : x
  2. Step 2: Convert to fraction form
    252.99/378 = 204.39/x
  3. Step 3: Cross multiply
    252.99x = 378 × 204.39
  4. Step 4: Simplify right side
    252.99x = 77,259.42
  5. Step 5: Solve for x
    x = 77,259.42/252.99
  6. Step 6: Final answer
    x = 305.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.