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Finding the Fourth Proportional to 252.52, 379.08 and 201.76

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Solution

The fourth proportional to 252.52, 379.08 and 201.76 is: 302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.52 : 379.08 = 201.76 : x
  2. Step 2: Convert to fraction form
    252.52/379.08 = 201.76/x
  3. Step 3: Cross multiply
    252.52x = 379.08 × 201.76
  4. Step 4: Simplify right side
    252.52x = 76,483.18
  5. Step 5: Solve for x
    x = 76,483.18/252.52
  6. Step 6: Final answer
    x = 302.88

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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.