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Finding the Fourth Proportional to 165.42, 228.18 and 143.37

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Solution

The fourth proportional to 165.42, 228.18 and 143.37 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.18 = 143.37 : x
  2. Step 2: Convert to fraction form
    165.42/228.18 = 143.37/x
  3. Step 3: Cross multiply
    165.42x = 228.18 × 143.37
  4. Step 4: Simplify right side
    165.42x = 32,714.17
  5. Step 5: Solve for x
    x = 32,714.17/165.42
  6. Step 6: Final answer
    x = 197.76

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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.