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Finding the Fourth Proportional to 160.98, 241.20 and 120.24

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Solution

The fourth proportional to 160.98, 241.20 and 120.24 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.98 : 241.20 = 120.24 : x
  2. Step 2: Convert to fraction form
    160.98/241.20 = 120.24/x
  3. Step 3: Cross multiply
    160.98x = 241.20 × 120.24
  4. Step 4: Simplify right side
    160.98x = 29,001.89
  5. Step 5: Solve for x
    x = 29,001.89/160.98
  6. Step 6: Final answer
    x = 180.16

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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.