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Finding the Fourth Proportional to 184.90, 275.96 and 161.68

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Solution

The fourth proportional to 184.90, 275.96 and 161.68 is: 241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 275.96 = 161.68 : x
  2. Step 2: Convert to fraction form
    184.90/275.96 = 161.68/x
  3. Step 3: Cross multiply
    184.90x = 275.96 × 161.68
  4. Step 4: Simplify right side
    184.90x = 44,617.21
  5. Step 5: Solve for x
    x = 44,617.21/184.90
  6. Step 6: Final answer
    x = 241.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.