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Finding the Fourth Proportional to 165.99, 248.96 and 50.45

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Solution

The fourth proportional to 165.99, 248.96 and 50.45 is: 75.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 248.96 = 50.45 : x
  2. Step 2: Convert to fraction form
    165.99/248.96 = 50.45/x
  3. Step 3: Cross multiply
    165.99x = 248.96 × 50.45
  4. Step 4: Simplify right side
    165.99x = 12,560.03
  5. Step 5: Solve for x
    x = 12,560.03/165.99
  6. Step 6: Final answer
    x = 75.67

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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.