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Finding the Fourth Proportional to 165.92, 228.72 and 142.56

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Solution

The fourth proportional to 165.92, 228.72 and 142.56 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 228.72 = 142.56 : x
  2. Step 2: Convert to fraction form
    165.92/228.72 = 142.56/x
  3. Step 3: Cross multiply
    165.92x = 228.72 × 142.56
  4. Step 4: Simplify right side
    165.92x = 32,606.32
  5. Step 5: Solve for x
    x = 32,606.32/165.92
  6. Step 6: Final answer
    x = 196.52

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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.