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Finding the Fourth Proportional to 236.14, 325.86 and 148.78

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Solution

The fourth proportional to 236.14, 325.86 and 148.78 is: 205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 325.86 = 148.78 : x
  2. Step 2: Convert to fraction form
    236.14/325.86 = 148.78/x
  3. Step 3: Cross multiply
    236.14x = 325.86 × 148.78
  4. Step 4: Simplify right side
    236.14x = 48,481.45
  5. Step 5: Solve for x
    x = 48,481.45/236.14
  6. Step 6: Final answer
    x = 205.31

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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.