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Finding the Fourth Proportional to 236.24, 325.76 and 142.96

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Solution

The fourth proportional to 236.24, 325.76 and 142.96 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.24 : 325.76 = 142.96 : x
  2. Step 2: Convert to fraction form
    236.24/325.76 = 142.96/x
  3. Step 3: Cross multiply
    236.24x = 325.76 × 142.96
  4. Step 4: Simplify right side
    236.24x = 46,569.12
  5. Step 5: Solve for x
    x = 46,569.12/236.24
  6. Step 6: Final answer
    x = 197.13

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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.