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Finding the Fourth Proportional to 146.85, 202.67 and 117.82

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Solution

The fourth proportional to 146.85, 202.67 and 117.82 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 202.67 = 117.82 : x
  2. Step 2: Convert to fraction form
    146.85/202.67 = 117.82/x
  3. Step 3: Cross multiply
    146.85x = 202.67 × 117.82
  4. Step 4: Simplify right side
    146.85x = 23,877.99
  5. Step 5: Solve for x
    x = 23,877.99/146.85
  6. Step 6: Final answer
    x = 162.61

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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.