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Finding the Fourth Proportional to 241.60, 362.24 and 97.28

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Solution

The fourth proportional to 241.60, 362.24 and 97.28 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.60 : 362.24 = 97.28 : x
  2. Step 2: Convert to fraction form
    241.60/362.24 = 97.28/x
  3. Step 3: Cross multiply
    241.60x = 362.24 × 97.28
  4. Step 4: Simplify right side
    241.60x = 35,238.71
  5. Step 5: Solve for x
    x = 35,238.71/241.60
  6. Step 6: Final answer
    x = 145.86

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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.