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Finding the Fourth Proportional to 160.82, 241.77 and 125.18

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Solution

The fourth proportional to 160.82, 241.77 and 125.18 is: 188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 241.77 = 125.18 : x
  2. Step 2: Convert to fraction form
    160.82/241.77 = 125.18/x
  3. Step 3: Cross multiply
    160.82x = 241.77 × 125.18
  4. Step 4: Simplify right side
    160.82x = 30,264.77
  5. Step 5: Solve for x
    x = 30,264.77/160.82
  6. Step 6: Final answer
    x = 188.19

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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.