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Finding the Fourth Proportional to 241.52, 361.74 and 177.26

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Solution

The fourth proportional to 241.52, 361.74 and 177.26 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.52 : 361.74 = 177.26 : x
  2. Step 2: Convert to fraction form
    241.52/361.74 = 177.26/x
  3. Step 3: Cross multiply
    241.52x = 361.74 × 177.26
  4. Step 4: Simplify right side
    241.52x = 64,122.03
  5. Step 5: Solve for x
    x = 64,122.03/241.52
  6. Step 6: Final answer
    x = 265.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.