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Finding the Fourth Proportional to 241.30, 359.58 and 229.69

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Solution

The fourth proportional to 241.30, 359.58 and 229.69 is: 342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.30 : 359.58 = 229.69 : x
  2. Step 2: Convert to fraction form
    241.30/359.58 = 229.69/x
  3. Step 3: Cross multiply
    241.30x = 359.58 × 229.69
  4. Step 4: Simplify right side
    241.30x = 82,591.93
  5. Step 5: Solve for x
    x = 82,591.93/241.30
  6. Step 6: Final answer
    x = 342.28

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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.