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Finding the Fourth Proportional to 236.15, 325.85 and 157.64

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Solution

The fourth proportional to 236.15, 325.85 and 157.64 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.15 : 325.85 = 157.64 : x
  2. Step 2: Convert to fraction form
    236.15/325.85 = 157.64/x
  3. Step 3: Cross multiply
    236.15x = 325.85 × 157.64
  4. Step 4: Simplify right side
    236.15x = 51,364.58
  5. Step 5: Solve for x
    x = 51,364.58/236.15
  6. Step 6: Final answer
    x = 217.51

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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.