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Finding the Fourth Proportional to 241.71, 359.72 and 233.07

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Solution

The fourth proportional to 241.71, 359.72 and 233.07 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.71 : 359.72 = 233.07 : x
  2. Step 2: Convert to fraction form
    241.71/359.72 = 233.07/x
  3. Step 3: Cross multiply
    241.71x = 359.72 × 233.07
  4. Step 4: Simplify right side
    241.71x = 83,838.78
  5. Step 5: Solve for x
    x = 83,838.78/241.71
  6. Step 6: Final answer
    x = 346.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.