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Finding the Fourth Proportional to 241.84, 333.24 and 186.24

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Solution

The fourth proportional to 241.84, 333.24 and 186.24 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 333.24 = 186.24 : x
  2. Step 2: Convert to fraction form
    241.84/333.24 = 186.24/x
  3. Step 3: Cross multiply
    241.84x = 333.24 × 186.24
  4. Step 4: Simplify right side
    241.84x = 62,062.62
  5. Step 5: Solve for x
    x = 62,062.62/241.84
  6. Step 6: Final answer
    x = 256.63

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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.