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Finding the Fourth Proportional to 160.79, 239.96 and 159.72

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Solution

The fourth proportional to 160.79, 239.96 and 159.72 is: 238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.79 : 239.96 = 159.72 : x
  2. Step 2: Convert to fraction form
    160.79/239.96 = 159.72/x
  3. Step 3: Cross multiply
    160.79x = 239.96 × 159.72
  4. Step 4: Simplify right side
    160.79x = 38,327.26
  5. Step 5: Solve for x
    x = 38,327.26/160.79
  6. Step 6: Final answer
    x = 238.38

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Why These Related Problems?

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