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Finding the Fourth Proportional to 241.35, 333.09 and 233.79

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Solution

The fourth proportional to 241.35, 333.09 and 233.79 is: 322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.35 : 333.09 = 233.79 : x
  2. Step 2: Convert to fraction form
    241.35/333.09 = 233.79/x
  3. Step 3: Cross multiply
    241.35x = 333.09 × 233.79
  4. Step 4: Simplify right side
    241.35x = 77,873.11
  5. Step 5: Solve for x
    x = 77,873.11/241.35
  6. Step 6: Final answer
    x = 322.66

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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.