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Finding the Fourth Proportional to 159.15, 237.34 and 138.69

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Solution

The fourth proportional to 159.15, 237.34 and 138.69 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.15 : 237.34 = 138.69 : x
  2. Step 2: Convert to fraction form
    159.15/237.34 = 138.69/x
  3. Step 3: Cross multiply
    159.15x = 237.34 × 138.69
  4. Step 4: Simplify right side
    159.15x = 32,917.23
  5. Step 5: Solve for x
    x = 32,917.23/159.15
  6. Step 6: Final answer
    x = 206.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.