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Finding the Fourth Proportional to 159.15, 238.17 and 110.43

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Solution

The fourth proportional to 159.15, 238.17 and 110.43 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.15 : 238.17 = 110.43 : x
  2. Step 2: Convert to fraction form
    159.15/238.17 = 110.43/x
  3. Step 3: Cross multiply
    159.15x = 238.17 × 110.43
  4. Step 4: Simplify right side
    159.15x = 26,301.11
  5. Step 5: Solve for x
    x = 26,301.11/159.15
  6. Step 6: Final answer
    x = 165.26

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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.