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Finding the Fourth Proportional to 252.38, 378.18 and 206.58

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Solution

The fourth proportional to 252.38, 378.18 and 206.58 is: 309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 378.18 = 206.58 : x
  2. Step 2: Convert to fraction form
    252.38/378.18 = 206.58/x
  3. Step 3: Cross multiply
    252.38x = 378.18 × 206.58
  4. Step 4: Simplify right side
    252.38x = 78,124.42
  5. Step 5: Solve for x
    x = 78,124.42/252.38
  6. Step 6: Final answer
    x = 309.55

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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.