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Finding the Fourth Proportional to 165.42, 228.33 and 121.86

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Solution

The fourth proportional to 165.42, 228.33 and 121.86 is: 168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.33 = 121.86 : x
  2. Step 2: Convert to fraction form
    165.42/228.33 = 121.86/x
  3. Step 3: Cross multiply
    165.42x = 228.33 × 121.86
  4. Step 4: Simplify right side
    165.42x = 27,824.29
  5. Step 5: Solve for x
    x = 27,824.29/165.42
  6. Step 6: Final answer
    x = 168.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.