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Finding the Fourth Proportional to 241.38, 360.61 and 154.02

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Solution

The fourth proportional to 241.38, 360.61 and 154.02 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 360.61 = 154.02 : x
  2. Step 2: Convert to fraction form
    241.38/360.61 = 154.02/x
  3. Step 3: Cross multiply
    241.38x = 360.61 × 154.02
  4. Step 4: Simplify right side
    241.38x = 55,540.38
  5. Step 5: Solve for x
    x = 55,540.38/241.38
  6. Step 6: Final answer
    x = 230.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.