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Finding the Fourth Proportional to 160.13, 241.01 and 136.64

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Solution

The fourth proportional to 160.13, 241.01 and 136.64 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.13 : 241.01 = 136.64 : x
  2. Step 2: Convert to fraction form
    160.13/241.01 = 136.64/x
  3. Step 3: Cross multiply
    160.13x = 241.01 × 136.64
  4. Step 4: Simplify right side
    160.13x = 32,930.74
  5. Step 5: Solve for x
    x = 32,930.74/160.13
  6. Step 6: Final answer
    x = 205.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.