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Finding the Fourth Proportional to 241.40, 333.24 and 232.04

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Solution

The fourth proportional to 241.40, 333.24 and 232.04 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 333.24 = 232.04 : x
  2. Step 2: Convert to fraction form
    241.40/333.24 = 232.04/x
  3. Step 3: Cross multiply
    241.40x = 333.24 × 232.04
  4. Step 4: Simplify right side
    241.40x = 77,325.01
  5. Step 5: Solve for x
    x = 77,325.01/241.40
  6. Step 6: Final answer
    x = 320.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.