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Finding the Fourth Proportional to 252.64, 378.06 and 198.16

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Solution

The fourth proportional to 252.64, 378.06 and 198.16 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 378.06 = 198.16 : x
  2. Step 2: Convert to fraction form
    252.64/378.06 = 198.16/x
  3. Step 3: Cross multiply
    252.64x = 378.06 × 198.16
  4. Step 4: Simplify right side
    252.64x = 74,916.37
  5. Step 5: Solve for x
    x = 74,916.37/252.64
  6. Step 6: Final answer
    x = 296.53

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Why These Related Problems?

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