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Finding the Fourth Proportional to 159.92, 241.34 and 154.49

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Solution

The fourth proportional to 159.92, 241.34 and 154.49 is: 233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 241.34 = 154.49 : x
  2. Step 2: Convert to fraction form
    159.92/241.34 = 154.49/x
  3. Step 3: Cross multiply
    159.92x = 241.34 × 154.49
  4. Step 4: Simplify right side
    159.92x = 37,284.45
  5. Step 5: Solve for x
    x = 37,284.45/159.92
  6. Step 6: Final answer
    x = 233.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.