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Finding the Fourth Proportional to 165.46, 228.18 and 107.14

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Solution

The fourth proportional to 165.46, 228.18 and 107.14 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 228.18 = 107.14 : x
  2. Step 2: Convert to fraction form
    165.46/228.18 = 107.14/x
  3. Step 3: Cross multiply
    165.46x = 228.18 × 107.14
  4. Step 4: Simplify right side
    165.46x = 24,447.21
  5. Step 5: Solve for x
    x = 24,447.21/165.46
  6. Step 6: Final answer
    x = 147.75

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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.