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Finding the Fourth Proportional to 236.10, 325.82 and 180.74

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Solution

The fourth proportional to 236.10, 325.82 and 180.74 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 325.82 = 180.74 : x
  2. Step 2: Convert to fraction form
    236.10/325.82 = 180.74/x
  3. Step 3: Cross multiply
    236.10x = 325.82 × 180.74
  4. Step 4: Simplify right side
    236.10x = 58,888.71
  5. Step 5: Solve for x
    x = 58,888.71/236.10
  6. Step 6: Final answer
    x = 249.42

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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.