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Finding the Fourth Proportional to 165.91, 249.21 and 160.45

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Solution

The fourth proportional to 165.91, 249.21 and 160.45 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.91 : 249.21 = 160.45 : x
  2. Step 2: Convert to fraction form
    165.91/249.21 = 160.45/x
  3. Step 3: Cross multiply
    165.91x = 249.21 × 160.45
  4. Step 4: Simplify right side
    165.91x = 39,985.74
  5. Step 5: Solve for x
    x = 39,985.74/165.91
  6. Step 6: Final answer
    x = 241.01

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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.