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Finding the Fourth Proportional to 165.58, 228.32 and 142.34

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Solution

The fourth proportional to 165.58, 228.32 and 142.34 is: 196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 228.32 = 142.34 : x
  2. Step 2: Convert to fraction form
    165.58/228.32 = 142.34/x
  3. Step 3: Cross multiply
    165.58x = 228.32 × 142.34
  4. Step 4: Simplify right side
    165.58x = 32,499.83
  5. Step 5: Solve for x
    x = 32,499.83/165.58
  6. Step 6: Final answer
    x = 196.28

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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.