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Finding the Fourth Proportional to 341.14, 512.06 and 254.20

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Solution

The fourth proportional to 341.14, 512.06 and 254.20 is: 381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 512.06 = 254.20 : x
  2. Step 2: Convert to fraction form
    341.14/512.06 = 254.20/x
  3. Step 3: Cross multiply
    341.14x = 512.06 × 254.20
  4. Step 4: Simplify right side
    341.14x = 130,165.65
  5. Step 5: Solve for x
    x = 130,165.65/341.14
  6. Step 6: Final answer
    x = 381.56

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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.