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Finding the Fourth Proportional to 252.37, 376.16 and 232.52

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Solution

The fourth proportional to 252.37, 376.16 and 232.52 is: 346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.37 : 376.16 = 232.52 : x
  2. Step 2: Convert to fraction form
    252.37/376.16 = 232.52/x
  3. Step 3: Cross multiply
    252.37x = 376.16 × 232.52
  4. Step 4: Simplify right side
    252.37x = 87,464.72
  5. Step 5: Solve for x
    x = 87,464.72/252.37
  6. Step 6: Final answer
    x = 346.57

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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.