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Finding the Fourth Proportional to 165.75, 229.16 and 145.24

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Solution

The fourth proportional to 165.75, 229.16 and 145.24 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 229.16 = 145.24 : x
  2. Step 2: Convert to fraction form
    165.75/229.16 = 145.24/x
  3. Step 3: Cross multiply
    165.75x = 229.16 × 145.24
  4. Step 4: Simplify right side
    165.75x = 33,282.99
  5. Step 5: Solve for x
    x = 33,282.99/165.75
  6. Step 6: Final answer
    x = 200.81

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