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Finding the Fourth Proportional to 159.11, 219.39 and 134.51

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Solution

The fourth proportional to 159.11, 219.39 and 134.51 is: 185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.11 : 219.39 = 134.51 : x
  2. Step 2: Convert to fraction form
    159.11/219.39 = 134.51/x
  3. Step 3: Cross multiply
    159.11x = 219.39 × 134.51
  4. Step 4: Simplify right side
    159.11x = 29,510.15
  5. Step 5: Solve for x
    x = 29,510.15/159.11
  6. Step 6: Final answer
    x = 185.47

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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.