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Finding the Fourth Proportional to 160.08, 220.50 and 133.80

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Solution

The fourth proportional to 160.08, 220.50 and 133.80 is: 184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.08 : 220.50 = 133.80 : x
  2. Step 2: Convert to fraction form
    160.08/220.50 = 133.80/x
  3. Step 3: Cross multiply
    160.08x = 220.50 × 133.80
  4. Step 4: Simplify right side
    160.08x = 29,502.90
  5. Step 5: Solve for x
    x = 29,502.90/160.08
  6. Step 6: Final answer
    x = 184.30

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