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Finding the Fourth Proportional to 241.84, 360.80 and 230.24

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Solution

The fourth proportional to 241.84, 360.80 and 230.24 is: 343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.84 : 360.80 = 230.24 : x
  2. Step 2: Convert to fraction form
    241.84/360.80 = 230.24/x
  3. Step 3: Cross multiply
    241.84x = 360.80 × 230.24
  4. Step 4: Simplify right side
    241.84x = 83,072.50
  5. Step 5: Solve for x
    x = 83,072.50/241.84
  6. Step 6: Final answer
    x = 343.51

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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.