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Finding the Fourth Proportional to 236.66, 324.80 and 214.80

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Solution

The fourth proportional to 236.66, 324.80 and 214.80 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.66 : 324.80 = 214.80 : x
  2. Step 2: Convert to fraction form
    236.66/324.80 = 214.80/x
  3. Step 3: Cross multiply
    236.66x = 324.80 × 214.80
  4. Step 4: Simplify right side
    236.66x = 69,767.04
  5. Step 5: Solve for x
    x = 69,767.04/236.66
  6. Step 6: Final answer
    x = 294.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.