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Finding the Fourth Proportional to 165.69, 228.42 and 116.46

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Solution

The fourth proportional to 165.69, 228.42 and 116.46 is: 160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.69 : 228.42 = 116.46 : x
  2. Step 2: Convert to fraction form
    165.69/228.42 = 116.46/x
  3. Step 3: Cross multiply
    165.69x = 228.42 × 116.46
  4. Step 4: Simplify right side
    165.69x = 26,601.79
  5. Step 5: Solve for x
    x = 26,601.79/165.69
  6. Step 6: Final answer
    x = 160.55

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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.