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Finding the Fourth Proportional to 165.82, 228.74 and 107.50

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Solution

The fourth proportional to 165.82, 228.74 and 107.50 is: 148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 228.74 = 107.50 : x
  2. Step 2: Convert to fraction form
    165.82/228.74 = 107.50/x
  3. Step 3: Cross multiply
    165.82x = 228.74 × 107.50
  4. Step 4: Simplify right side
    165.82x = 24,589.55
  5. Step 5: Solve for x
    x = 24,589.55/165.82
  6. Step 6: Final answer
    x = 148.29

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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.