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Finding the Fourth Proportional to 241.65, 360.50 and 238.58

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Solution

The fourth proportional to 241.65, 360.50 and 238.58 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 360.50 = 238.58 : x
  2. Step 2: Convert to fraction form
    241.65/360.50 = 238.58/x
  3. Step 3: Cross multiply
    241.65x = 360.50 × 238.58
  4. Step 4: Simplify right side
    241.65x = 86,008.09
  5. Step 5: Solve for x
    x = 86,008.09/241.65
  6. Step 6: Final answer
    x = 355.92

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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.