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Finding the Fourth Proportional to 159.49, 238.84 and 111.17

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Solution

The fourth proportional to 159.49, 238.84 and 111.17 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.49 : 238.84 = 111.17 : x
  2. Step 2: Convert to fraction form
    159.49/238.84 = 111.17/x
  3. Step 3: Cross multiply
    159.49x = 238.84 × 111.17
  4. Step 4: Simplify right side
    159.49x = 26,551.29
  5. Step 5: Solve for x
    x = 26,551.29/159.49
  6. Step 6: Final answer
    x = 166.48

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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.