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Finding the Fourth Proportional to 159.92, 240.26 and 157.40

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Solution

The fourth proportional to 159.92, 240.26 and 157.40 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 240.26 = 157.40 : x
  2. Step 2: Convert to fraction form
    159.92/240.26 = 157.40/x
  3. Step 3: Cross multiply
    159.92x = 240.26 × 157.40
  4. Step 4: Simplify right side
    159.92x = 37,816.92
  5. Step 5: Solve for x
    x = 37,816.92/159.92
  6. Step 6: Final answer
    x = 236.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.