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Finding the Fourth Proportional to 165.92, 228.92 and 159.55

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Solution

The fourth proportional to 165.92, 228.92 and 159.55 is: 220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 228.92 = 159.55 : x
  2. Step 2: Convert to fraction form
    165.92/228.92 = 159.55/x
  3. Step 3: Cross multiply
    165.92x = 228.92 × 159.55
  4. Step 4: Simplify right side
    165.92x = 36,522.82
  5. Step 5: Solve for x
    x = 36,522.82/165.92
  6. Step 6: Final answer
    x = 220.13

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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.