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Finding the Fourth Proportional to 159.23, 238.82 and 51

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Solution

The fourth proportional to 159.23, 238.82 and 51 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.23 : 238.82 = 51 : x
  2. Step 2: Convert to fraction form
    159.23/238.82 = 51/x
  3. Step 3: Cross multiply
    159.23x = 238.82 × 51
  4. Step 4: Simplify right side
    159.23x = 12,179.57
  5. Step 5: Solve for x
    x = 12,179.57/159.23
  6. Step 6: Final answer
    x = 76.49

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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.