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Finding the Fourth Proportional to 235.92, 325.92 and 224.64

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Solution

The fourth proportional to 235.92, 325.92 and 224.64 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.92 : 325.92 = 224.64 : x
  2. Step 2: Convert to fraction form
    235.92/325.92 = 224.64/x
  3. Step 3: Cross multiply
    235.92x = 325.92 × 224.64
  4. Step 4: Simplify right side
    235.92x = 73,214.67
  5. Step 5: Solve for x
    x = 73,214.67/235.92
  6. Step 6: Final answer
    x = 310.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.