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Finding the Fourth Proportional to 163.35, 245.16 and 117.86

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Solution

The fourth proportional to 163.35, 245.16 and 117.86 is: 176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.35 : 245.16 = 117.86 : x
  2. Step 2: Convert to fraction form
    163.35/245.16 = 117.86/x
  3. Step 3: Cross multiply
    163.35x = 245.16 × 117.86
  4. Step 4: Simplify right side
    163.35x = 28,893.33
  5. Step 5: Solve for x
    x = 28,893.33/163.35
  6. Step 6: Final answer
    x = 176.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.