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Finding the Fourth Proportional to 165.86, 228.84 and 141.05

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Solution

The fourth proportional to 165.86, 228.84 and 141.05 is: 194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.86 : 228.84 = 141.05 : x
  2. Step 2: Convert to fraction form
    165.86/228.84 = 141.05/x
  3. Step 3: Cross multiply
    165.86x = 228.84 × 141.05
  4. Step 4: Simplify right side
    165.86x = 32,277.93
  5. Step 5: Solve for x
    x = 32,277.93/165.86
  6. Step 6: Final answer
    x = 194.61

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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.