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Finding the Fourth Proportional to 159.07, 238.38 and 118.39

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Solution

The fourth proportional to 159.07, 238.38 and 118.39 is: 177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.07 : 238.38 = 118.39 : x
  2. Step 2: Convert to fraction form
    159.07/238.38 = 118.39/x
  3. Step 3: Cross multiply
    159.07x = 238.38 × 118.39
  4. Step 4: Simplify right side
    159.07x = 28,221.81
  5. Step 5: Solve for x
    x = 28,221.81/159.07
  6. Step 6: Final answer
    x = 177.42

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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.