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Finding the Fourth Proportional to 236.32, 325.34 and 224.78

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Solution

The fourth proportional to 236.32, 325.34 and 224.78 is: 309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.32 : 325.34 = 224.78 : x
  2. Step 2: Convert to fraction form
    236.32/325.34 = 224.78/x
  3. Step 3: Cross multiply
    236.32x = 325.34 × 224.78
  4. Step 4: Simplify right side
    236.32x = 73,129.93
  5. Step 5: Solve for x
    x = 73,129.93/236.32
  6. Step 6: Final answer
    x = 309.45

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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.