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Finding the Fourth Proportional to 160.54, 241.14 and 140.02

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Solution

The fourth proportional to 160.54, 241.14 and 140.02 is: 210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.54 : 241.14 = 140.02 : x
  2. Step 2: Convert to fraction form
    160.54/241.14 = 140.02/x
  3. Step 3: Cross multiply
    160.54x = 241.14 × 140.02
  4. Step 4: Simplify right side
    160.54x = 33,764.42
  5. Step 5: Solve for x
    x = 33,764.42/160.54
  6. Step 6: Final answer
    x = 210.32

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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.