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Finding the Fourth Proportional to 160.84, 241.38 and 120.34

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Solution

The fourth proportional to 160.84, 241.38 and 120.34 is: 180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 241.38 = 120.34 : x
  2. Step 2: Convert to fraction form
    160.84/241.38 = 120.34/x
  3. Step 3: Cross multiply
    160.84x = 241.38 × 120.34
  4. Step 4: Simplify right side
    160.84x = 29,047.67
  5. Step 5: Solve for x
    x = 29,047.67/160.84
  6. Step 6: Final answer
    x = 180.60

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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.