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Finding the Fourth Proportional to 160.94, 241.48 and 138.06

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Solution

The fourth proportional to 160.94, 241.48 and 138.06 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 241.48 = 138.06 : x
  2. Step 2: Convert to fraction form
    160.94/241.48 = 138.06/x
  3. Step 3: Cross multiply
    160.94x = 241.48 × 138.06
  4. Step 4: Simplify right side
    160.94x = 33,338.73
  5. Step 5: Solve for x
    x = 33,338.73/160.94
  6. Step 6: Final answer
    x = 207.15

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Why These Related Problems?

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