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Finding the Fourth Proportional to 160.44, 240.88 and 99.38

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Solution

The fourth proportional to 160.44, 240.88 and 99.38 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 240.88 = 99.38 : x
  2. Step 2: Convert to fraction form
    160.44/240.88 = 99.38/x
  3. Step 3: Cross multiply
    160.44x = 240.88 × 99.38
  4. Step 4: Simplify right side
    160.44x = 23,938.65
  5. Step 5: Solve for x
    x = 23,938.65/160.44
  6. Step 6: Final answer
    x = 149.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.