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Finding the Fourth Proportional to 165.66, 228.42 and 144.87

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Solution

The fourth proportional to 165.66, 228.42 and 144.87 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 228.42 = 144.87 : x
  2. Step 2: Convert to fraction form
    165.66/228.42 = 144.87/x
  3. Step 3: Cross multiply
    165.66x = 228.42 × 144.87
  4. Step 4: Simplify right side
    165.66x = 33,091.21
  5. Step 5: Solve for x
    x = 33,091.21/165.66
  6. Step 6: Final answer
    x = 199.75

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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.