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Finding the Fourth Proportional to 146.57, 202.08 and 118.86

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Solution

The fourth proportional to 146.57, 202.08 and 118.86 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.08 = 118.86 : x
  2. Step 2: Convert to fraction form
    146.57/202.08 = 118.86/x
  3. Step 3: Cross multiply
    146.57x = 202.08 × 118.86
  4. Step 4: Simplify right side
    146.57x = 24,019.23
  5. Step 5: Solve for x
    x = 24,019.23/146.57
  6. Step 6: Final answer
    x = 163.88

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Why These Related Problems?

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