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Finding the Fourth Proportional to 241.28, 362.44 and 177.52

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Solution

The fourth proportional to 241.28, 362.44 and 177.52 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 362.44 = 177.52 : x
  2. Step 2: Convert to fraction form
    241.28/362.44 = 177.52/x
  3. Step 3: Cross multiply
    241.28x = 362.44 × 177.52
  4. Step 4: Simplify right side
    241.28x = 64,340.35
  5. Step 5: Solve for x
    x = 64,340.35/241.28
  6. Step 6: Final answer
    x = 266.66

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