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Finding the Fourth Proportional to 160.42, 219.42 and 157.90

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Solution

The fourth proportional to 160.42, 219.42 and 157.90 is: 215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.42 : 219.42 = 157.90 : x
  2. Step 2: Convert to fraction form
    160.42/219.42 = 157.90/x
  3. Step 3: Cross multiply
    160.42x = 219.42 × 157.90
  4. Step 4: Simplify right side
    160.42x = 34,645.63
  5. Step 5: Solve for x
    x = 34,645.63/160.42
  6. Step 6: Final answer
    x = 215.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.