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Finding the Fourth Proportional to 160.45, 220.51 and 144.25

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Solution

The fourth proportional to 160.45, 220.51 and 144.25 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.45 : 220.51 = 144.25 : x
  2. Step 2: Convert to fraction form
    160.45/220.51 = 144.25/x
  3. Step 3: Cross multiply
    160.45x = 220.51 × 144.25
  4. Step 4: Simplify right side
    160.45x = 31,808.57
  5. Step 5: Solve for x
    x = 31,808.57/160.45
  6. Step 6: Final answer
    x = 198.25

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