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Finding the Fourth Proportional to 160.18, 220.41 and 130.42

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Solution

The fourth proportional to 160.18, 220.41 and 130.42 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.18 : 220.41 = 130.42 : x
  2. Step 2: Convert to fraction form
    160.18/220.41 = 130.42/x
  3. Step 3: Cross multiply
    160.18x = 220.41 × 130.42
  4. Step 4: Simplify right side
    160.18x = 28,745.87
  5. Step 5: Solve for x
    x = 28,745.87/160.18
  6. Step 6: Final answer
    x = 179.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.