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Finding the Fourth Proportional to 160.44, 239.98 and 138.45

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Solution

The fourth proportional to 160.44, 239.98 and 138.45 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 239.98 = 138.45 : x
  2. Step 2: Convert to fraction form
    160.44/239.98 = 138.45/x
  3. Step 3: Cross multiply
    160.44x = 239.98 × 138.45
  4. Step 4: Simplify right side
    160.44x = 33,225.23
  5. Step 5: Solve for x
    x = 33,225.23/160.44
  6. Step 6: Final answer
    x = 207.09

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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.