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Finding the Fourth Proportional to 241.49, 359.75 and 229.88

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Solution

The fourth proportional to 241.49, 359.75 and 229.88 is: 342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.49 : 359.75 = 229.88 : x
  2. Step 2: Convert to fraction form
    241.49/359.75 = 229.88/x
  3. Step 3: Cross multiply
    241.49x = 359.75 × 229.88
  4. Step 4: Simplify right side
    241.49x = 82,696.38
  5. Step 5: Solve for x
    x = 82,696.38/241.49
  6. Step 6: Final answer
    x = 342.45

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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.