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Finding the Fourth Proportional to 252.36, 377.64 and 227.16

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Solution

The fourth proportional to 252.36, 377.64 and 227.16 is: 339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 377.64 = 227.16 : x
  2. Step 2: Convert to fraction form
    252.36/377.64 = 227.16/x
  3. Step 3: Cross multiply
    252.36x = 377.64 × 227.16
  4. Step 4: Simplify right side
    252.36x = 85,784.70
  5. Step 5: Solve for x
    x = 85,784.70/252.36
  6. Step 6: Final answer
    x = 339.93

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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.