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Finding the Fourth Proportional to 146.96, 202.92 and 117.98

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Solution

The fourth proportional to 146.96, 202.92 and 117.98 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 202.92 = 117.98 : x
  2. Step 2: Convert to fraction form
    146.96/202.92 = 117.98/x
  3. Step 3: Cross multiply
    146.96x = 202.92 × 117.98
  4. Step 4: Simplify right side
    146.96x = 23,940.50
  5. Step 5: Solve for x
    x = 23,940.50/146.96
  6. Step 6: Final answer
    x = 162.90

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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.