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Finding the Fourth Proportional to 241.40, 332.75 and 174.78

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Solution

The fourth proportional to 241.40, 332.75 and 174.78 is: 240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 332.75 = 174.78 : x
  2. Step 2: Convert to fraction form
    241.40/332.75 = 174.78/x
  3. Step 3: Cross multiply
    241.40x = 332.75 × 174.78
  4. Step 4: Simplify right side
    241.40x = 58,158.05
  5. Step 5: Solve for x
    x = 58,158.05/241.40
  6. Step 6: Final answer
    x = 240.92

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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.