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Finding the Fourth Proportional to 165.85, 229.03 and 128.99

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Solution

The fourth proportional to 165.85, 229.03 and 128.99 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 229.03 = 128.99 : x
  2. Step 2: Convert to fraction form
    165.85/229.03 = 128.99/x
  3. Step 3: Cross multiply
    165.85x = 229.03 × 128.99
  4. Step 4: Simplify right side
    165.85x = 29,542.83
  5. Step 5: Solve for x
    x = 29,542.83/165.85
  6. Step 6: Final answer
    x = 178.13

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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.