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Finding the Fourth Proportional to 160.51, 241.10 and 136.18

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Solution

The fourth proportional to 160.51, 241.10 and 136.18 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.51 : 241.10 = 136.18 : x
  2. Step 2: Convert to fraction form
    160.51/241.10 = 136.18/x
  3. Step 3: Cross multiply
    160.51x = 241.10 × 136.18
  4. Step 4: Simplify right side
    160.51x = 32,833.00
  5. Step 5: Solve for x
    x = 32,833.00/160.51
  6. Step 6: Final answer
    x = 204.56

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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.