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Finding the Fourth Proportional to 165.87, 228.30 and 116.66

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Solution

The fourth proportional to 165.87, 228.30 and 116.66 is: 160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.87 : 228.30 = 116.66 : x
  2. Step 2: Convert to fraction form
    165.87/228.30 = 116.66/x
  3. Step 3: Cross multiply
    165.87x = 228.30 × 116.66
  4. Step 4: Simplify right side
    165.87x = 26,633.48
  5. Step 5: Solve for x
    x = 26,633.48/165.87
  6. Step 6: Final answer
    x = 160.57

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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.