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Finding the Fourth Proportional to 236.34, 325.76 and 180.99

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Solution

The fourth proportional to 236.34, 325.76 and 180.99 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 325.76 = 180.99 : x
  2. Step 2: Convert to fraction form
    236.34/325.76 = 180.99/x
  3. Step 3: Cross multiply
    236.34x = 325.76 × 180.99
  4. Step 4: Simplify right side
    236.34x = 58,958.40
  5. Step 5: Solve for x
    x = 58,958.40/236.34
  6. Step 6: Final answer
    x = 249.46

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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.