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Finding the Fourth Proportional to 175.18, 241.81 and 116.98

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Solution

The fourth proportional to 175.18, 241.81 and 116.98 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.18 : 241.81 = 116.98 : x
  2. Step 2: Convert to fraction form
    175.18/241.81 = 116.98/x
  3. Step 3: Cross multiply
    175.18x = 241.81 × 116.98
  4. Step 4: Simplify right side
    175.18x = 28,286.93
  5. Step 5: Solve for x
    x = 28,286.93/175.18
  6. Step 6: Final answer
    x = 161.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.