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Finding the Fourth Proportional to 252.64, 377.16 and 225.60

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Solution

The fourth proportional to 252.64, 377.16 and 225.60 is: 336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.64 : 377.16 = 225.60 : x
  2. Step 2: Convert to fraction form
    252.64/377.16 = 225.60/x
  3. Step 3: Cross multiply
    252.64x = 377.16 × 225.60
  4. Step 4: Simplify right side
    252.64x = 85,087.30
  5. Step 5: Solve for x
    x = 85,087.30/252.64
  6. Step 6: Final answer
    x = 336.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.