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Finding the Fourth Proportional to 241.29, 362.51 and 154.79

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Solution

The fourth proportional to 241.29, 362.51 and 154.79 is: 232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.29 : 362.51 = 154.79 : x
  2. Step 2: Convert to fraction form
    241.29/362.51 = 154.79/x
  3. Step 3: Cross multiply
    241.29x = 362.51 × 154.79
  4. Step 4: Simplify right side
    241.29x = 56,112.92
  5. Step 5: Solve for x
    x = 56,112.92/241.29
  6. Step 6: Final answer
    x = 232.55

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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.