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Finding the Fourth Proportional to 241.92, 334.05 and 154.74

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Solution

The fourth proportional to 241.92, 334.05 and 154.74 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 334.05 = 154.74 : x
  2. Step 2: Convert to fraction form
    241.92/334.05 = 154.74/x
  3. Step 3: Cross multiply
    241.92x = 334.05 × 154.74
  4. Step 4: Simplify right side
    241.92x = 51,690.90
  5. Step 5: Solve for x
    x = 51,690.90/241.92
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.