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Finding the Fourth Proportional to 241.85, 362.24 and 150.35

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Solution

The fourth proportional to 241.85, 362.24 and 150.35 is: 225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.85 : 362.24 = 150.35 : x
  2. Step 2: Convert to fraction form
    241.85/362.24 = 150.35/x
  3. Step 3: Cross multiply
    241.85x = 362.24 × 150.35
  4. Step 4: Simplify right side
    241.85x = 54,464.07
  5. Step 5: Solve for x
    x = 54,464.07/241.85
  6. Step 6: Final answer
    x = 225.20

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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.