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Finding the Fourth Proportional to 165.90, 228.99 and 133.14

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Solution

The fourth proportional to 165.90, 228.99 and 133.14 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 228.99 = 133.14 : x
  2. Step 2: Convert to fraction form
    165.90/228.99 = 133.14/x
  3. Step 3: Cross multiply
    165.90x = 228.99 × 133.14
  4. Step 4: Simplify right side
    165.90x = 30,487.73
  5. Step 5: Solve for x
    x = 30,487.73/165.90
  6. Step 6: Final answer
    x = 183.77

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Why These Related Problems?

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