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Finding the Fourth Proportional to 378.08, 521.12 and 246.80

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Solution

The fourth proportional to 378.08, 521.12 and 246.80 is: 340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.08 : 521.12 = 246.80 : x
  2. Step 2: Convert to fraction form
    378.08/521.12 = 246.80/x
  3. Step 3: Cross multiply
    378.08x = 521.12 × 246.80
  4. Step 4: Simplify right side
    378.08x = 128,612.42
  5. Step 5: Solve for x
    x = 128,612.42/378.08
  6. Step 6: Final answer
    x = 340.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.