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Finding the Fourth Proportional to 165.48, 228.54 and 126.34

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Solution

The fourth proportional to 165.48, 228.54 and 126.34 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 228.54 = 126.34 : x
  2. Step 2: Convert to fraction form
    165.48/228.54 = 126.34/x
  3. Step 3: Cross multiply
    165.48x = 228.54 × 126.34
  4. Step 4: Simplify right side
    165.48x = 28,873.74
  5. Step 5: Solve for x
    x = 28,873.74/165.48
  6. Step 6: Final answer
    x = 174.48

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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.