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Finding the Fourth Proportional to 241.79, 362.33 and 150.21

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Solution

The fourth proportional to 241.79, 362.33 and 150.21 is: 225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.79 : 362.33 = 150.21 : x
  2. Step 2: Convert to fraction form
    241.79/362.33 = 150.21/x
  3. Step 3: Cross multiply
    241.79x = 362.33 × 150.21
  4. Step 4: Simplify right side
    241.79x = 54,426.10
  5. Step 5: Solve for x
    x = 54,426.10/241.79
  6. Step 6: Final answer
    x = 225.10

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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.