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Finding the Fourth Proportional to 165.52, 228.59 and 119

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Solution

The fourth proportional to 165.52, 228.59 and 119 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 228.59 = 119 : x
  2. Step 2: Convert to fraction form
    165.52/228.59 = 119/x
  3. Step 3: Cross multiply
    165.52x = 228.59 × 119
  4. Step 4: Simplify right side
    165.52x = 27,202.21
  5. Step 5: Solve for x
    x = 27,202.21/165.52
  6. Step 6: Final answer
    x = 164.34

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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.