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Finding the Fourth Proportional to 236.16, 325.50 and 180.78

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Solution

The fourth proportional to 236.16, 325.50 and 180.78 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.16 : 325.50 = 180.78 : x
  2. Step 2: Convert to fraction form
    236.16/325.50 = 180.78/x
  3. Step 3: Cross multiply
    236.16x = 325.50 × 180.78
  4. Step 4: Simplify right side
    236.16x = 58,842.67
  5. Step 5: Solve for x
    x = 58,842.67/236.16
  6. Step 6: Final answer
    x = 249.16

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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.